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 CellLabel->"In[39]:=",ExpressionUUID->"57ab31d0-7e9c-4833-aae3-8feb3a8ca7ee"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`bd$$ = 24., $CellContext`Br$$ = 
    1., $CellContext`d$$ = 0.0015, $CellContext`dt$$ = 
    0.005, $CellContext`graf$$ = 2, $CellContext`Hm$$ = 
    16., $CellContext`im$$ = 1, $CellContext`L$$ = 0.15, $CellContext`line$$ =
     True, $CellContext`Rm$$ = 9., $CellContext`time$$ = 
    0, $CellContext`Z0$$ = -2., Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {
    "\"Coinciding of models\"" :> {$CellContext`L$$ = 0.1, $CellContext`bd$$ = 
       25., $CellContext`d$$ = 1/1000., $CellContext`im$$ = 
       1, $CellContext`Rm$$ = 9., $CellContext`Hm$$ = 14, $CellContext`Br$$ = 
       1, $CellContext`dt$$ = 0.005}, 
     "\"My experiment - Good adreement with model2!\"" :> {$CellContext`L$$ = 
       0.5, $CellContext`bd$$ = 25., $CellContext`d$$ = 
       2./1000, $CellContext`im$$ = 2, $CellContext`Rm$$ = 
       9, $CellContext`Hm$$ = 7.9, $CellContext`Br$$ = 
       0.85, $CellContext`dt$$ = 0.005}}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`L$$], 0.15, 
       Row[{
         Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05}, {{
       Hold[$CellContext`bd$$], 24., 
       Row[{
         Subscript[
          Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5}, {{
       Hold[$CellContext`d$$], 0.0015, 
       Row[{"\[CapitalDelta]", " (mm)"}]}, {
      0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
       "3"}}, {{
       Hold[$CellContext`im$$], 1, "metal"}, {1 -> "Cu", 2 -> "Al"}}, {
      Hold[
       Row[{
         Text[
          Style["tube: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Manipulate`Place[1], 
         Spacer[20], 
         Manipulate`Place[2], 
         Spacer[20], 
         Manipulate`Place[3], 
         Spacer[20], 
         Manipulate`Place[4]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Rm$$], 9., 
       Row[{
         Subscript[
          Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1}, {{
       Hold[$CellContext`Hm$$], 16., 
       Row[{
         Subscript[
          Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5}, {{
       Hold[$CellContext`Br$$], 1., 
       Row[{
         Subscript[
          Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1}, {
      Hold[
       Row[{
         Text[
          Style["magnet: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Spacer[20], 
         Manipulate`Place[5], 
         Spacer[20], 
         Manipulate`Place[6], 
         Spacer[20], 
         Manipulate`Place[7]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Z0$$], -2., 
       Row[{"initial position ", 
         Subscript[
          Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1}, {{
       Hold[$CellContext`graf$$], 2, "graphics"}, {0 -> Row[{
          Style["z", Italic], "(", 
          Style["t", Italic], ")"}], 1 -> Row[{
          Style["v", Italic], "(", 
          Style["t", Italic], ")"}], 2 -> Row[{
          Style["v", Italic], "(", 
          Style["z", Italic], ")"}], 3 -> Row[{
          Style["k", Italic], "(", 
          Style["z", Italic], ")"}], 4 -> Row[{
          Style["F", Italic], "(", 
          Style["z", Italic], ")"}]}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[8], 
         Spacer[5], 
         Manipulate`Place[9]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`time$$], 0, "time (s)"}, 0, 
      Dynamic[
       Round[($CellContext`L$$ + Abs[$CellContext`z0]) (110/$CellContext`vt0),
         0.01]], 0.02}, {{
       Hold[$CellContext`dt$$], 0.005, 
       Row[{"\[CapitalDelta]", 
         Style["t", Italic], " (ms)"}]}, {
      0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}}, {{
       Hold[$CellContext`line$$], True, "connect"}, {True, False}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[10], 
         Spacer[20], 
         Manipulate`Place[11], 
         Spacer[20], 
         Manipulate`Place[12], Null}]], Manipulate`Dump`ThisIsNotAControl}}, 
    Typeset`size$$ = {593., {204.693115234375, 211.306884765625}}, 
    Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     2, StandardForm, 
      "Variables" :> {$CellContext`bd$$ = 24., $CellContext`Br$$ = 
        1., $CellContext`d$$ = 0.0015, $CellContext`dt$$ = 
        0.005, $CellContext`graf$$ = 2, $CellContext`Hm$$ = 
        16., $CellContext`im$$ = 1, $CellContext`L$$ = 
        0.15, $CellContext`line$$ = True, $CellContext`Rm$$ = 
        9., $CellContext`time$$ = 0, $CellContext`Z0$$ = -2.}, 
      "ControllerVariables" :> {}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> Quiet[
        Block[{$CellContext`gr0, $CellContext`gr1, $CellContext`gr2}, If[
           
           Or[$CellContext`bd$$ != $CellContext`bd0, $CellContext`d$$ != \
$CellContext`d0, $CellContext`L$$ != $CellContext`L0, $CellContext`Z0$$ != \
$CellContext`Z00, $CellContext`Rm$$ != $CellContext`Rm0, $CellContext`Hm$$ != \
$CellContext`Hm0, $CellContext`Br$$ != $CellContext`B0, $CellContext`im$$ != \
$CellContext`im0, $CellContext`model != $CellContext`model0, \
$CellContext`dt$$ != $CellContext`dt0], $CellContext`b = ($CellContext`bd$$/
              2)/1000; $CellContext`bd0 = $CellContext`bd$$; $CellContext`d0 = \
$CellContext`d$$; $CellContext`L0 = $CellContext`L$$; $CellContext`im0 = \
$CellContext`im$$; $CellContext`Z00 = $CellContext`Z0$$; $CellContext`z0 = \
$CellContext`Z0$$/
             100; $CellContext`Rm0 = $CellContext`Rm$$; $CellContext`rm = \
$CellContext`Rm$$/
             1000; $CellContext`Hm0 = $CellContext`Hm$$; $CellContext`hm = \
$CellContext`Hm$$/
             1000; $CellContext`B0 = $CellContext`Br$$; $CellContext`model0 = \
($CellContext`model = 
             1); $CellContext`arr = $CellContext`farr[$CellContext`b - \
$CellContext`d$$, $CellContext`b, $CellContext`L$$, $CellContext`z0, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$, \
$CellContext`model, $CellContext`dt$$]; $CellContext`tmax := 
            Part[$CellContext`arr, 1, -1, 1]; 
           Null]; $CellContext`s = $CellContext`L$$ - Interpolation[
            Part[$CellContext`arr, 1]][$CellContext`time$$]; $CellContext`tL0 = 
          If[$CellContext`z0 <= 0, 
            Interpolation[
             Reverse[
              Part[$CellContext`arr, 1], 2]][0], -0.1]; $CellContext`tL2 = 
          Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 2]][$CellContext`L$$/
            2.]; $CellContext`tL = Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 
             2]][$CellContext`L$$]; $CellContext`a = $CellContext`b - \
$CellContext`d$$; $CellContext`Vm = (
            Pi $CellContext`rm^2) $CellContext`hm; $CellContext`vtint = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k1int[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`vt0 = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k2[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`color1 = {
            RGBColor[1, 0.9, 0.7], 
            RGBColor[0.9, 0.9, 0.9]}; $CellContext`color2 = {
            RGBColor[0.7, 0.4, 0.4], 
            RGBColor[0.5, 0.5, 0.5]}; $CellContext`gr1 = Show[
            Graphics[{
              Thickness[0.0007], 
              RGBColor[0, 0, 0], 
              Arrowheads[0.1], 
              
              Arrow[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ + 
                 Abs[$CellContext`z0] + $CellContext`hm0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], -
                  Abs[$CellContext`z0/2] - $CellContext`hm0}}], 
              Text[
               Subscript[
                Style["z", Italic, 13], 0], {(-0.14) 
                Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}], 
              Text[
               Style[
               "0", 12], {(-0.12) Sqrt[$CellContext`L$$], $CellContext`L$$}], 
              Text[
               Row[{
                 Style["L", Italic], "/2"}], {(-0.12) 
                Sqrt[$CellContext`L$$], $CellContext`L$$/2}], 
              Text[
               Style["L", Italic, 12], {(-0.12) Sqrt[$CellContext`L$$], 0}], 
              Text[
               Style[
               "z", Italic, 13], {(-0.105) 
                Sqrt[$CellContext`L$$], (-$CellContext`L$$)/20 - 
                Abs[$CellContext`z0/3]}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], 0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], 0}}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/2}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}, \
{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}}], 
              Dashed, 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], 0}, {-$CellContext`b, 
                 0}}], 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {-$CellContext`b, $CellContext`L$$/2}}], 
              
              Line[{{(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {-$CellContext`b, \
$CellContext`L$$}}], 
              Part[$CellContext`color1, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`a, 
                0}, {$CellContext`a, $CellContext`L$$}], 
              Part[$CellContext`color2, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`b, -0.0005}, {-$CellContext`b + \
$CellContext`d$$ + 0.0001, $CellContext`L$$ + 0.0005}], 
              
              Rectangle[{$CellContext`b - $CellContext`d$$, -0.001}, \
{$CellContext`b, $CellContext`L$$ + 0.001}], 
              RGBColor[0.3, 0.5, 0.7], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s - $CellContext`hm/
                2}, {$CellContext`rm, $CellContext`s}], 
              RGBColor[0.7, 0.5, 0.4], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s}, {$CellContext`rm, \
$CellContext`hm/2 + $CellContext`s}]}], 
            PlotRange -> {(-$CellContext`L$$)/10 - Abs[$CellContext`z0], 
              11 ($CellContext`L$$/10) + Abs[$CellContext`z0]}, Frame -> 
            False, ImageSize -> 0.9 {150, 370}]; $CellContext`gr2 = 
          Which[$CellContext`graf$$ == 0, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 1], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.03, 0.}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.03, $CellContext`L$$/2}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.03, $CellContext`L$$}], Gray, 
                Line[{{0, 0}, {5, 0}}], 
                Line[{{0, $CellContext`L$$/2}, {5, $CellContext`L$$/2}}], 
                Line[{{0, $CellContext`L$$}, {5, $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL0, $CellContext`z0}, {$CellContext`tL0, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL2, $CellContext`z0}, {$CellContext`tL2, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL, $CellContext`z0}, {$CellContext`tL, 
                   1.3 $CellContext`L$$}}], Red, 
                PointSize[0.03], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$]}]}, Frame -> 
              True, FrameStyle -> {Black}, AspectRatio -> 1, 
              ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{"Dependence of coordinate on time ", 
                  Style["z", Italic], "(", 
                  Style["t", Italic], ")"}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 1, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 2], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              AxesOrigin -> {0, 0}, Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.015, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.01, 0.05}], Gray, 
                Line[{{$CellContext`tL0, 0}, {$CellContext`tL0, 5}}], 
                Line[{{$CellContext`tL2, 0}, {$CellContext`tL2, 5}}], 
                Line[{{$CellContext`tL, 0}, {$CellContext`tL, 5}}], Red, 
                PointSize[0.025], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, Frame -> 
              True, AspectRatio -> 1, ImageSize -> {330, 330}, LabelStyle -> 
              10], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on time", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 2, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 3], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, Frame -> True, 
              Axes -> False, Epilog -> {
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 14], {
                 0 + 0.01, 0.05}], 
                Text[
                 Row[{
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          1.50499999999999, 0.2952633503900584}, {1.5099999999999898`, 
          0.29526321091127833`}, {1.5149999999999897`, 
          0.29526306118172035`}, {1.5199999999999896`, 0.2952629003669983}, {
          1.5249999999999895`, 0.2952627275583672}, {1.5299999999999894`, 
          0.29526254176552985`}, {1.5349999999999893`, 
          0.29526234190869655`}, {1.5399999999999892`, 
          0.29526212680981206`}, {1.544999999999989, 0.29526189518285745`}, {
          1.549999999999989, 0.2952616456231214}, {1.5549999999999888`, 
          0.29526137659532603`}, {1.5599999999999887`, 0.2952610864204749}, {
          1.5649999999999886`, 0.2952607732612759}, {1.5699999999999885`, 
          0.2952604351059779}, {1.5749999999999884`, 0.2952600697504313}, {
          1.5799999999999883`, 0.2952596747781702}, {1.5849999999999882`, 
          0.2952592475382792}, {1.589999999999988, 0.29525878512078335`}, {
          1.594999999999988, 0.29525828432926915`}, {1.5999999999999879`, 
          0.2952577416503981}, {1.6049999999999878`, 0.2952571532199471}, {
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          0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
          1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
          0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
          1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
          0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
          1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
          0.27133320006818523`}, {1.9949999999999795`, 
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          0.2744257058130713}, {2.029999999999979, 0.28040919466673464`}, {
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          0.28735730655894914`}, {2.0449999999999786`, 0.2852885977626245}, {
          2.0499999999999785`, 0.2788619958964226}, {2.0549999999999784`, 
          0.26846167313121877`}, {2.0599999999999783`, 0.254636726510077}, {
          2.064999999999978, 0.23777316234595222`}, {2.069999999999978, 
          0.21803341330113915`}, {2.074999999999978, 0.19549507748201408`}, {
          2.079999999999978, 0.17038767645030584`}, {2.0849999999999778`, 
          0.14333787957246127`}, {2.0899999999999777`, 
          0.11551982785776609`}, {2.0949999999999775`, 0.08858954968206668}, {
          2.0999999999999774`, 0.06434081131578437}, {2.1049999999999773`, 
          0.04419102304430717}, {2.1099999999999772`, 
          0.028772268753306386`}, {2.114999999999977, 
          0.017865607533154408`}, {2.119999999999977, 
          0.010670313438650268`}, {2.124999999999977, 0.006189493912724943}, {
          2.129999999999977, 0.003520407039602143}}}, $CellContext`farr[
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`z0, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]], 
         Pattern[$CellContext`model, 
          Blank[]], 
         Pattern[$CellContext`dt, 
          Blank[]]] := 
       Block[{$CellContext`zz = $CellContext`z0, $CellContext`t2 = 
          0}, $CellContext`ff = {}; $CellContext`vv = {}; $CellContext`vs = \
{}; $CellContext`ss = {}; $CellContext`kk = {}; $CellContext`kt = {}; \
$CellContext`ft = {}; $CellContext`t2 = 
          0; $CellContext`\[CapitalDelta]t2 = $CellContext`dt; \
$CellContext`v1 = 0; 
         While[$CellContext`zz <= (11/10) $CellContext`L + 
            Abs[$CellContext`z0]/
             2, $CellContext`zz = $CellContext`zz + $CellContext`v1 \
$CellContext`\[CapitalDelta]t2; $CellContext`kdrag = 
            If[$CellContext`model == 1, 
              $CellContext`k2[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im], 
              $CellContext`k1int[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im]]; $CellContext`v2 = $CellContext`v1 + \
$CellContext`g $CellContext`\[CapitalDelta]t2 - \
(($CellContext`kdrag/((($CellContext`\[Rho]m 
                 Pi) $CellContext`rm^2) $CellContext`hm)) $CellContext`v1) \
$CellContext`\[CapitalDelta]t2; 
           AppendTo[$CellContext`ss, {$CellContext`t2, $CellContext`zz}]; 
           AppendTo[$CellContext`vv, {$CellContext`t2, $CellContext`v1}]; 
           AppendTo[$CellContext`vs, {$CellContext`zz, $CellContext`v1}]; 
           AppendTo[$CellContext`kk, {$CellContext`zz, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ff, {$CellContext`zz, $CellContext`kdrag \
$CellContext`v1}]; 
           AppendTo[$CellContext`kt, {$CellContext`t2, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ft, {$CellContext`t2, $CellContext`kdrag \
$CellContext`v1}]; $CellContext`t2 = $CellContext`t2 + $CellContext`\
\[CapitalDelta]t2; $CellContext`v1 = $CellContext`v2]; $CellContext`arr = \
{$CellContext`ss, $CellContext`vv, $CellContext`vs, $CellContext`kk, \
$CellContext`ff, $CellContext`kt, $CellContext`ft}], $CellContext`a = 
       0.0105, $CellContext`ff = CompressedData["
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         0.29526559939558933`}, {0.8600000000000007, 0.29526559337394803`}, {
         0.8650000000000007, 0.2952655876318855}, {0.8700000000000007, 
         0.2952655821533918}, {0.8750000000000007, 0.2952655769233736}, {
         0.8800000000000007, 0.29526557192759323`}, {0.8850000000000007, 
         0.29526556715261293`}, {0.8900000000000007, 0.29526556258574227`}, {
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         0.2952655540290102}, {0.9050000000000007, 0.295265550017077}, {
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         1.0849999999999989`, 0.29526546178614077`}, {1.0899999999999987`, 
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         1.1149999999999982`, 0.295265448812473}, {1.119999999999998, 
         0.2952654464864473}, {1.124999999999998, 0.29526544410100275`}, {
         1.129999999999998, 0.2952654416510414}, {1.1349999999999978`, 
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         1.1449999999999976`, 0.2952654338601071}, {1.1499999999999975`, 
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         1.1899999999999966`, 0.2952654050478644}, {1.1949999999999965`, 
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         1.309999999999994, 0.29526523779042696`}, {1.314999999999994, 
         0.2952652253993897}, {1.3199999999999938`, 0.29526521231583586`}, {
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         0.2952639187928909}, {1.4849999999999903`, 0.29526382023096753`}, {
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         0.2952604351059779}, {1.5749999999999884`, 0.2952600697504313}, {
         1.5799999999999883`, 0.2952596747781702}, {1.5849999999999882`, 
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         1.6549999999999867`, 0.2952475605424042}, {1.6599999999999866`, 
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         0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
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         0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
         1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
         0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
         1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
         0.27133320006818523`}, {1.9949999999999795`, 0.26870588461903755`}, {
         1.9999999999999793`, 0.2663734686978677}, {2.0049999999999795`, 
         0.26474245670712593`}, {2.0099999999999794`, 0.2643407457017548}, {
         2.0149999999999793`, 0.26571006387409535`}, {2.019999999999979, 
         0.2691609301252263}, {2.024999999999979, 0.2744257058130713}, {
         2.029999999999979, 0.28040919466673464`}, {2.034999999999979, 
         0.2853335787509585}, {2.0399999999999787`, 0.28735730655894914`}, {
         2.0449999999999786`, 0.2852885977626245}, {2.0499999999999785`, 
         0.2788619958964226}, {2.0549999999999784`, 0.26846167313121877`}, {
         2.0599999999999783`, 0.254636726510077}, {2.064999999999978, 
         0.23777316234595222`}, {2.069999999999978, 0.21803341330113915`}, {
         2.074999999999978, 0.19549507748201408`}, {2.079999999999978, 
         0.17038767645030584`}, {2.0849999999999778`, 0.14333787957246127`}, {
         2.0899999999999777`, 0.11551982785776609`}, {2.0949999999999775`, 
         0.08858954968206668}, {2.0999999999999774`, 0.06434081131578437}, {
         2.1049999999999773`, 0.04419102304430717}, {2.1099999999999772`, 
         0.028772268753306386`}, {2.114999999999977, 0.017865607533154408`}, {
         2.119999999999977, 0.010670313438650268`}, {2.124999999999977, 
         0.006189493912724943}, {2.129999999999977, 
         0.003520407039602143}}, $CellContext`\[CapitalDelta]t2 = 
       0.005, $CellContext`v1 = 0.6215175440323613, $CellContext`kdrag = 
       0.006142725885016496, $CellContext`k2[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          
          Blank[]]] := (((
           3 $CellContext`Br^2) ((Pi $CellContext`rm^2) $CellContext`hm)^2)/((
          1024 Pi) 
         Part[$CellContext`\[Rho], $CellContext`im])) ((-(((
              8 $CellContext`a^2) ($CellContext`L - \
$CellContext`z))/($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)^3) - \
(2 ($CellContext`L - $CellContext`z))/($CellContext`a^2 + ($CellContext`L - \
$CellContext`z)^2)^2 + (
            5 ($CellContext`L - $CellContext`z))/($CellContext`a^2 \
($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)) + ((
             8 $CellContext`b^2) ($CellContext`L - \
$CellContext`z))/($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)^3 + \
(2 ($CellContext`L - $CellContext`z))/($CellContext`b^2 + ($CellContext`L - \
$CellContext`z)^2)^2 - (
           5 ($CellContext`L - $CellContext`z))/($CellContext`b^2 \
($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)) + (5 
            ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`b])/$CellContext`b^3) + ((-$CellContext`z) ((
              8 $CellContext`a^2)/($CellContext`a^2 + $CellContext`z^2)^3 + 
            2/($CellContext`a^2 + $CellContext`z^2)^2 - 
            5/($CellContext`a^2 ($CellContext`a^2 + $CellContext`z^2)) - (
             8 $CellContext`b^2)/($CellContext`b^2 + $CellContext`z^2)^3 - 
            2/($CellContext`b^2 + $CellContext`z^2)^2 + 
            5/($CellContext`b^2 ($CellContext`b^2 + $CellContext`z^2))) + (5 
            ArcTan[$CellContext`z/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[$CellContext`z/$CellContext`b])/$CellContext`b^3)), \
$CellContext`\[Rho] = {1.7*^-8, 2.8*^-8}, $CellContext`k1int[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]]] := ((2 Pi)/Part[$CellContext`\[Rho], $CellContext`im]) 
        NIntegrate[$CellContext`r $CellContext`Bro1[$CellContext`z - \
$CellContext`zz, $CellContext`r, $CellContext`rm, $CellContext`hm/
             2, $CellContext`Br]^2, {$CellContext`r, $CellContext`a, \
$CellContext`b}, {$CellContext`zz, 0, $CellContext`L}, PrecisionGoal -> 7, 
          WorkingPrecision -> 12, MaxPoints -> 500], $CellContext`Bro1[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`r, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm2, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]]] := ($CellContext`Br ($CellContext`rm/(2 
          Pi))) (((($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2) 
            EllipticE[((
                4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 + $CellContext`z)^2)
             EllipticK[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
          Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2]) - ((($CellContext`rm + $CellContext`r)^2 + \
($CellContext`hm2 - $CellContext`z)^2) 
           EllipticE[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 - $CellContext`z)^2)
            EllipticK[((
              4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
         Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2])), $CellContext`v2 = 0.6215175440323613, $CellContext`g = 
       9.8, $CellContext`\[Rho]m = 7400, $CellContext`tmax := 
       Part[$CellContext`arr, 1, -1, 1], $CellContext`s = 
       0.16999999999999998`, $CellContext`tL0 = 
       0.07353260944444752, $CellContext`tL2 = 
       1.0448289344590722`, $CellContext`tL = 
       2.0323529089865136`, $CellContext`Vm = 
       4.071504079052372*^-6, $CellContext`vtint = 
       8.510448889591245, $CellContext`vt0 = 
       7.249586905829745, $CellContext`color1 = {
         RGBColor[1, 0.9, 0.7], 
         RGBColor[0.9, 0.9, 0.9]}, $CellContext`color2 = {
         RGBColor[0.7, 0.4, 0.4], 
         RGBColor[0.5, 0.5, 0.5]}, $CellContext`hm0 = 0.016, 
       Attributes[Subscript] = {NHoldRest}, 
       Attributes[PlotRange] = {ReadProtected}}; Typeset`initDone$$ = True),
    SynchronousInitialization->False,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellID->1387779080,ExpressionUUID->"7ded1f44-573c-4d29-b414-586c559a0e92"]
}, {2}]]
}, Open  ]],

Cell[CellGroupData[{

Cell["", "ManipulateCaptionSection",ExpressionUUID->"50ecee49-ff06-47bf-9e32-cc69c1f10342"],

Cell["\<\
This Demonstration shows a cylindrical magnet falling inside a conducting \
pipe. This fall is damped by the opposing force due to eddy currents \
generated in the conducting pipe.\
\>", "ManipulateCaption",
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 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`bd$$ = 32., $CellContext`Br$$ = 
    1., $CellContext`d$$ = 0.0015, $CellContext`dt$$ = 
    0.005, $CellContext`graf$$ = 2, $CellContext`Hm$$ = 
    16., $CellContext`im$$ = 1, $CellContext`L$$ = 
    0.15000000000000002`, $CellContext`line$$ = True, $CellContext`Rm$$ = 
    9., $CellContext`time$$ = 0.1, $CellContext`Z0$$ = -3.2, Typeset`show$$ = 
    True, Typeset`bookmarkList$$ = {
    "\"Coinciding of models\"" :> {$CellContext`L$$ = 0.1, $CellContext`bd$$ = 
       25., $CellContext`d$$ = 1/1000., $CellContext`im$$ = 
       1, $CellContext`Rm$$ = 9., $CellContext`Hm$$ = 14, $CellContext`Br$$ = 
       1, $CellContext`dt$$ = 0.005}, 
     "\"My experiment - Good adreement with model2!\"" :> {$CellContext`L$$ = 
       0.5, $CellContext`bd$$ = 25., $CellContext`d$$ = 
       2./1000, $CellContext`im$$ = 2, $CellContext`Rm$$ = 
       9, $CellContext`Hm$$ = 7.9, $CellContext`Br$$ = 
       0.85, $CellContext`dt$$ = 0.005}}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`L$$], 0.15000000000000002`, 
       Row[{
         Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05}, {{
       Hold[$CellContext`bd$$], 32., 
       Row[{
         Subscript[
          Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5}, {{
       Hold[$CellContext`d$$], 0.0015, 
       Row[{"\[CapitalDelta]", " (mm)"}]}, {
      0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
       "3"}}, {{
       Hold[$CellContext`im$$], 1, "metal"}, {1 -> "Cu", 2 -> "Al"}}, {
      Hold[
       Row[{
         Text[
          Style["tube: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Manipulate`Place[1], 
         Spacer[20], 
         Manipulate`Place[2], 
         Spacer[20], 
         Manipulate`Place[3], 
         Spacer[20], 
         Manipulate`Place[4]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Rm$$], 9., 
       Row[{
         Subscript[
          Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1}, {{
       Hold[$CellContext`Hm$$], 16., 
       Row[{
         Subscript[
          Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5}, {{
       Hold[$CellContext`Br$$], 1., 
       Row[{
         Subscript[
          Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1}, {
      Hold[
       Row[{
         Text[
          Style["magnet: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Spacer[20], 
         Manipulate`Place[5], 
         Spacer[20], 
         Manipulate`Place[6], 
         Spacer[20], 
         Manipulate`Place[7]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Z0$$], -3.2, 
       Row[{"initial position ", 
         Subscript[
          Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1}, {{
       Hold[$CellContext`graf$$], 2, "graphics"}, {0 -> Row[{
          Style["z", Italic], "(", 
          Style["t", Italic], ")"}], 1 -> Row[{
          Style["v", Italic], "(", 
          Style["t", Italic], ")"}], 2 -> Row[{
          Style["v", Italic], "(", 
          Style["z", Italic], ")"}], 3 -> Row[{
          Style["k", Italic], "(", 
          Style["z", Italic], ")"}], 4 -> Row[{
          Style["F", Italic], "(", 
          Style["z", Italic], ")"}]}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[8], 
         Spacer[5], 
         Manipulate`Place[9]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`time$$], 0.1, "time (s)"}, 0, 
      Dynamic[
       Round[($CellContext`L$$ + Abs[$CellContext`z0]) (110/$CellContext`vt0),
         0.01]], 0.02}, {{
       Hold[$CellContext`dt$$], 0.005, 
       Row[{"\[CapitalDelta]", 
         Style["t", Italic], " (ms)"}]}, {
      0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}}, {{
       Hold[$CellContext`line$$], True, "connect"}, {True, False}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[10], 
         Spacer[20], 
         Manipulate`Place[11], 
         Spacer[20], 
         Manipulate`Place[12], Null}]], Manipulate`Dump`ThisIsNotAControl}}, 
    Typeset`size$$ = {593., {204.693115234375, 211.306884765625}}, 
    Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     2, StandardForm, 
      "Variables" :> {$CellContext`bd$$ = 32., $CellContext`Br$$ = 
        1., $CellContext`d$$ = 0.0015, $CellContext`dt$$ = 
        0.005, $CellContext`graf$$ = 2, $CellContext`Hm$$ = 
        16., $CellContext`im$$ = 1, $CellContext`L$$ = 
        0.15000000000000002`, $CellContext`line$$ = True, $CellContext`Rm$$ = 
        9., $CellContext`time$$ = 0.1, $CellContext`Z0$$ = -3.2}, 
      "ControllerVariables" :> {}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> Quiet[
        Block[{$CellContext`gr0, $CellContext`gr1, $CellContext`gr2}, If[
           
           Or[$CellContext`bd$$ != $CellContext`bd0, $CellContext`d$$ != \
$CellContext`d0, $CellContext`L$$ != $CellContext`L0, $CellContext`Z0$$ != \
$CellContext`Z00, $CellContext`Rm$$ != $CellContext`Rm0, $CellContext`Hm$$ != \
$CellContext`Hm0, $CellContext`Br$$ != $CellContext`B0, $CellContext`im$$ != \
$CellContext`im0, $CellContext`model != $CellContext`model0, \
$CellContext`dt$$ != $CellContext`dt0], $CellContext`b = ($CellContext`bd$$/
              2)/1000; $CellContext`bd0 = $CellContext`bd$$; $CellContext`d0 = \
$CellContext`d$$; $CellContext`L0 = $CellContext`L$$; $CellContext`im0 = \
$CellContext`im$$; $CellContext`Z00 = $CellContext`Z0$$; $CellContext`z0 = \
$CellContext`Z0$$/
             100; $CellContext`Rm0 = $CellContext`Rm$$; $CellContext`rm = \
$CellContext`Rm$$/
             1000; $CellContext`Hm0 = $CellContext`Hm$$; $CellContext`hm = \
$CellContext`Hm$$/
             1000; $CellContext`B0 = $CellContext`Br$$; $CellContext`model0 = \
($CellContext`model = 
             1); $CellContext`arr = $CellContext`farr[$CellContext`b - \
$CellContext`d$$, $CellContext`b, $CellContext`L$$, $CellContext`z0, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$, \
$CellContext`model, $CellContext`dt$$]; $CellContext`tmax := 
            Part[$CellContext`arr, 1, -1, 1]; 
           Null]; $CellContext`s = $CellContext`L$$ - Interpolation[
            Part[$CellContext`arr, 1]][$CellContext`time$$]; $CellContext`tL0 = 
          If[$CellContext`z0 <= 0, 
            Interpolation[
             Reverse[
              Part[$CellContext`arr, 1], 2]][0], -0.1]; $CellContext`tL2 = 
          Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 2]][$CellContext`L$$/
            2.]; $CellContext`tL = Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 
             2]][$CellContext`L$$]; $CellContext`a = $CellContext`b - \
$CellContext`d$$; $CellContext`Vm = (
            Pi $CellContext`rm^2) $CellContext`hm; $CellContext`vtint = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k1int[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`vt0 = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k2[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`color1 = {
            RGBColor[1, 0.9, 0.7], 
            RGBColor[0.9, 0.9, 0.9]}; $CellContext`color2 = {
            RGBColor[0.7, 0.4, 0.4], 
            RGBColor[0.5, 0.5, 0.5]}; $CellContext`gr1 = Show[
            Graphics[{
              Thickness[0.0007], 
              RGBColor[0, 0, 0], 
              Arrowheads[0.1], 
              
              Arrow[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ + 
                 Abs[$CellContext`z0] + $CellContext`hm0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], -
                  Abs[$CellContext`z0/2] - $CellContext`hm0}}], 
              Text[
               Subscript[
                Style["z", Italic, 13], 0], {(-0.14) 
                Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}], 
              Text[
               Style[
               "0", 12], {(-0.12) Sqrt[$CellContext`L$$], $CellContext`L$$}], 
              Text[
               Row[{
                 Style["L", Italic], "/2"}], {(-0.12) 
                Sqrt[$CellContext`L$$], $CellContext`L$$/2}], 
              Text[
               Style["L", Italic, 12], {(-0.12) Sqrt[$CellContext`L$$], 0}], 
              Text[
               Style[
               "z", Italic, 13], {(-0.105) 
                Sqrt[$CellContext`L$$], (-$CellContext`L$$)/20 - 
                Abs[$CellContext`z0/3]}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], 0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], 0}}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/2}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}, \
{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}}], 
              Dashed, 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], 0}, {-$CellContext`b, 
                 0}}], 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {-$CellContext`b, $CellContext`L$$/2}}], 
              
              Line[{{(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {-$CellContext`b, \
$CellContext`L$$}}], 
              Part[$CellContext`color1, $CellContext`im$$], 
              Rectangle[{-$CellContext`a, 
                0}, {$CellContext`a, $CellContext`L$$}], 
              Part[$CellContext`color2, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`b, -0.0005}, {-$CellContext`b + \
$CellContext`d$$ + 0.0001, $CellContext`L$$ + 0.0005}], 
              
              Rectangle[{$CellContext`b - $CellContext`d$$, -0.001}, \
{$CellContext`b, $CellContext`L$$ + 0.001}], 
              RGBColor[0.3, 0.5, 0.7], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s - $CellContext`hm/
                2}, {$CellContext`rm, $CellContext`s}], 
              RGBColor[0.7, 0.5, 0.4], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s}, {$CellContext`rm, \
$CellContext`hm/2 + $CellContext`s}]}], 
            PlotRange -> {(-$CellContext`L$$)/10 - Abs[$CellContext`z0], 
              11 ($CellContext`L$$/10) + Abs[$CellContext`z0]}, Frame -> 
            False, ImageSize -> 0.9 {150, 370}]; $CellContext`gr2 = 
          Which[$CellContext`graf$$ == 0, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 1], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.03, 0.}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.03, $CellContext`L$$/2}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.03, $CellContext`L$$}], Gray, 
                Line[{{0, 0}, {5, 0}}], 
                Line[{{0, $CellContext`L$$/2}, {5, $CellContext`L$$/2}}], 
                Line[{{0, $CellContext`L$$}, {5, $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL0, $CellContext`z0}, {$CellContext`tL0, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL2, $CellContext`z0}, {$CellContext`tL2, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL, $CellContext`z0}, {$CellContext`tL, 
                   1.3 $CellContext`L$$}}], Red, 
                PointSize[0.03], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$]}]}, Frame -> 
              True, FrameStyle -> {Black}, AspectRatio -> 1, 
              ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{"Dependence of coordinate on time ", 
                  Style["z", Italic], "(", 
                  Style["t", Italic], ")"}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 1, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 2], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              AxesOrigin -> {0, 0}, Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.015, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.01, 0.05}], Gray, 
                Line[{{$CellContext`tL0, 0}, {$CellContext`tL0, 5}}], 
                Line[{{$CellContext`tL2, 0}, {$CellContext`tL2, 5}}], 
                Line[{{$CellContext`tL, 0}, {$CellContext`tL, 5}}], Red, 
                PointSize[0.025], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, Frame -> 
              True, AspectRatio -> 1, ImageSize -> {330, 330}, LabelStyle -> 
              10], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on time", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 2, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 3], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, Frame -> True, 
              Axes -> False, Epilog -> {
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 14], {
                 0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`L$$/2 - 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`L$$ - 
                  0.01, 0.05}], Gray, Dashed, 
                Line[{{0, 0}, {0, 5}}], 
                Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                PointSize[0.025], 
                Point[{
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$], 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, 
              AspectRatio -> 1, ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on position", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 3, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 4], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Gray, Dashed, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 6]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["k", Italic], "  Ns/m"}], Black, 15], 
               Style[
                Row[{"Dependence of drag coefficient on ", 
                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 4, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 5], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Dashed, Gray, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 7]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["F", Italic], "  N"}], Black, 15], 
               Style[
                Row[{"Dependence of drag force on ", 
                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 12]]; 
         Grid[{{$CellContext`gr1, $CellContext`gr2}}]]], 
      "Specifications" :> {{{$CellContext`L$$, 0.15000000000000002`, 
          Row[{
            Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05, ImageSize -> Tiny, 
         ControlPlacement -> 1}, {{$CellContext`bd$$, 32., 
          Row[{
            Subscript[
             Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5, ImageSize -> 
         Tiny, ControlPlacement -> 2}, {{$CellContext`d$$, 0.0015, 
          Row[{"\[CapitalDelta]", " (mm)"}]}, {
         0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
          "3"}, ControlType -> Setter, ControlPlacement -> 
         3}, {{$CellContext`im$$, 1, "metal"}, {1 -> "Cu", 2 -> "Al"}, 
         ControlType -> Setter, ControlPlacement -> 4}, 
        Row[{
          Text[
           Style["tube: ", 12, 
            RGBColor[0.4, 0.2, 0.2]]], 
          Manipulate`Place[1], 
          Spacer[20], 
          Manipulate`Place[2], 
          Spacer[20], 
          Manipulate`Place[3], 
          Spacer[20], 
          Manipulate`Place[4]}], {{$CellContext`Rm$$, 9., 
          Row[{
            Subscript[
             Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1, ImageSize -> 
         Tiny, ControlPlacement -> 5}, {{$CellContext`Hm$$, 16., 
          Row[{
            Subscript[
             Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5, ImageSize -> 
         Tiny, ControlPlacement -> 6}, {{$CellContext`Br$$, 1., 
          Row[{
            Subscript[
             Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1, ImageSize -> 
         Tiny, Appearance -> "Labeled", ControlPlacement -> 7}, 
        Row[{
          Text[
           Style["magnet: ", 12, 
            RGBColor[0.4, 0.2, 0.2]]], 
          Spacer[20], 
          Manipulate`Place[5], 
          Spacer[20], 
          Manipulate`Place[6], 
          Spacer[20], 
          Manipulate`Place[7]}], {{$CellContext`Z0$$, -3.2, 
          Row[{"initial position ", 
            Subscript[
             Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1, ImageSize -> 
         Tiny, Appearance -> "Labeled", ControlPlacement -> 
         8}, {{$CellContext`graf$$, 2, "graphics"}, {0 -> Row[{
             Style["z", Italic], "(", 
             Style["t", Italic], ")"}], 1 -> Row[{
             Style["v", Italic], "(", 
             Style["t", Italic], ")"}], 2 -> Row[{
             Style["v", Italic], "(", 
             Style["z", Italic], ")"}], 3 -> Row[{
             Style["k", Italic], "(", 
             Style["z", Italic], ")"}], 4 -> Row[{
             Style["F", Italic], "(", 
             Style["z", Italic], ")"}]}, ControlType -> Setter, 
         ControlPlacement -> 9}, 
        Row[{
          Spacer[30], 
          Manipulate`Place[8], 
          Spacer[5], 
          Manipulate`Place[9]}], {{$CellContext`time$$, 0.1, "time (s)"}, 0, 
         Dynamic[
          
          Round[($CellContext`L$$ + Abs[$CellContext`z0]) (
            110/$CellContext`vt0), 0.01]], 0.02, Appearance -> "Labeled", 
         ControlPlacement -> 10}, {{$CellContext`dt$$, 0.005, 
          Row[{"\[CapitalDelta]", 
            Style["t", Italic], " (ms)"}]}, {
         0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}, ControlType -> Setter, 
         ControlPlacement -> 11}, {{$CellContext`line$$, True, "connect"}, {
         True, False}, ControlPlacement -> 12}, 
        Row[{
          Spacer[30], 
          Manipulate`Place[10], 
          Spacer[20], 
          Manipulate`Place[11], 
          Spacer[20], 
          Manipulate`Place[12], Null}]}, 
      "Options" :> {
       SynchronousInitialization -> False, SynchronousUpdating -> False, 
        TrackedSymbols :> {$CellContext`bd$$, $CellContext`d$$, \
$CellContext`L$$, $CellContext`Z0$$, $CellContext`Rm$$, $CellContext`Hm$$, \
$CellContext`Br$$, $CellContext`im$$, $CellContext`time$$, \
$CellContext`graf$$, $CellContext`model, $CellContext`line$$, \
$CellContext`dt$$}, ContentSize -> {600, 400}, Alignment -> Center}, 
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          1.8899999999999817`, 0.2934459520546904}, {1.8949999999999816`, 
          0.29321344827555945`}, {1.8999999999999815`, 0.2929486138355304}, {
          1.9049999999999814`, 0.2926465523932361}, {1.9099999999999813`, 
          0.2923015575547827}, {1.9149999999999812`, 0.2919069696152102}, {
          1.919999999999981, 0.29145500849865996`}, {1.924999999999981, 
          0.29093658167570713`}, {1.9299999999999808`, 
          0.29034106836760665`}, {1.9349999999999807`, 0.2896560863968707}, {
          1.9399999999999806`, 0.28886725750041947`}, {1.9449999999999805`, 
          0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
          1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
          0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
          1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
          0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
          1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
          0.27133320006818523`}, {1.9949999999999795`, 
          0.26870588461903755`}, {1.9999999999999793`, 0.2663734686978677}, {
          2.0049999999999795`, 0.26474245670712593`}, {2.0099999999999794`, 
          0.2643407457017548}, {2.0149999999999793`, 0.26571006387409535`}, {
          2.019999999999979, 0.2691609301252263}, {2.024999999999979, 
          0.2744257058130713}, {2.029999999999979, 0.28040919466673464`}, {
          2.034999999999979, 0.2853335787509585}, {2.0399999999999787`, 
          0.28735730655894914`}, {2.0449999999999786`, 0.2852885977626245}, {
          2.0499999999999785`, 0.2788619958964226}, {2.0549999999999784`, 
          0.26846167313121877`}, {2.0599999999999783`, 0.254636726510077}, {
          2.064999999999978, 0.23777316234595222`}, {2.069999999999978, 
          0.21803341330113915`}, {2.074999999999978, 0.19549507748201408`}, {
          2.079999999999978, 0.17038767645030584`}, {2.0849999999999778`, 
          0.14333787957246127`}, {2.0899999999999777`, 
          0.11551982785776609`}, {2.0949999999999775`, 0.08858954968206668}, {
          2.0999999999999774`, 0.06434081131578437}, {2.1049999999999773`, 
          0.04419102304430717}, {2.1099999999999772`, 
          0.028772268753306386`}, {2.114999999999977, 
          0.017865607533154408`}, {2.119999999999977, 
          0.010670313438650268`}, {2.124999999999977, 0.006189493912724943}, {
          2.129999999999977, 0.003520407039602143}}}, $CellContext`farr[
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`z0, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]], 
         Pattern[$CellContext`model, 
          Blank[]], 
         Pattern[$CellContext`dt, 
          Blank[]]] := 
       Block[{$CellContext`zz = $CellContext`z0, $CellContext`t2 = 
          0}, $CellContext`ff = {}; $CellContext`vv = {}; $CellContext`vs = \
{}; $CellContext`ss = {}; $CellContext`kk = {}; $CellContext`kt = {}; \
$CellContext`ft = {}; $CellContext`t2 = 
          0; $CellContext`\[CapitalDelta]t2 = $CellContext`dt; \
$CellContext`v1 = 0; 
         While[$CellContext`zz <= (11/10) $CellContext`L + 
            Abs[$CellContext`z0]/
             2, $CellContext`zz = $CellContext`zz + $CellContext`v1 \
$CellContext`\[CapitalDelta]t2; $CellContext`kdrag = 
            If[$CellContext`model == 1, 
              $CellContext`k2[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im], 
              $CellContext`k1int[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im]]; $CellContext`v2 = $CellContext`v1 + \
$CellContext`g $CellContext`\[CapitalDelta]t2 - \
(($CellContext`kdrag/((($CellContext`\[Rho]m 
                 Pi) $CellContext`rm^2) $CellContext`hm)) $CellContext`v1) \
$CellContext`\[CapitalDelta]t2; 
           AppendTo[$CellContext`ss, {$CellContext`t2, $CellContext`zz}]; 
           AppendTo[$CellContext`vv, {$CellContext`t2, $CellContext`v1}]; 
           AppendTo[$CellContext`vs, {$CellContext`zz, $CellContext`v1}]; 
           AppendTo[$CellContext`kk, {$CellContext`zz, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ff, {$CellContext`zz, $CellContext`kdrag \
$CellContext`v1}]; 
           AppendTo[$CellContext`kt, {$CellContext`t2, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ft, {$CellContext`t2, $CellContext`kdrag \
$CellContext`v1}]; $CellContext`t2 = $CellContext`t2 + $CellContext`\
\[CapitalDelta]t2; $CellContext`v1 = $CellContext`v2]; $CellContext`arr = \
{$CellContext`ss, $CellContext`vv, $CellContext`vs, $CellContext`kk, \
$CellContext`ff, $CellContext`kt, $CellContext`ft}], $CellContext`a = 
       0.0105, $CellContext`ff = CompressedData["
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         0.2952639187928909}, {1.4849999999999903`, 0.29526382023096753`}, {
         1.4899999999999902`, 0.29526371468286666`}, {1.4949999999999901`, 
         0.29526360159952597`}, {1.49999999999999, 0.2952634803846037}, {
         1.50499999999999, 0.2952633503900584}, {1.5099999999999898`, 
         0.29526321091127833`}, {1.5149999999999897`, 0.29526306118172035`}, {
         1.5199999999999896`, 0.2952629003669983}, {1.5249999999999895`, 
         0.2952627275583672}, {1.5299999999999894`, 0.29526254176552985`}, {
         1.5349999999999893`, 0.29526234190869655`}, {1.5399999999999892`, 
         0.29526212680981206`}, {1.544999999999989, 0.29526189518285745`}, {
         1.549999999999989, 0.2952616456231214}, {1.5549999999999888`, 
         0.29526137659532603`}, {1.5599999999999887`, 0.2952610864204749}, {
         1.5649999999999886`, 0.2952607732612759}, {1.5699999999999885`, 
         0.2952604351059779}, {1.5749999999999884`, 0.2952600697504313}, {
         1.5799999999999883`, 0.2952596747781702}, {1.5849999999999882`, 
         0.2952592475382792}, {1.589999999999988, 0.29525878512078335`}, {
         1.594999999999988, 0.29525828432926915`}, {1.5999999999999879`, 
         0.2952577416503981}, {1.6049999999999878`, 0.2952571532199471}, {
         1.6099999999999877`, 0.295256514784942}, {1.6149999999999876`, 
         0.295255821661419}, {1.6199999999999875`, 0.295255068687269}, {
         1.6249999999999873`, 0.2952542501695592}, {1.6299999999999872`, 
         0.295253359825645}, {1.6349999999999871`, 0.2952523907172944}, {
         1.639999999999987, 0.29525133517694635`}, {1.644999999999987, 
         0.295250184725104}, {1.6499999999999868`, 0.29524892997773616`}, {
         1.6549999999999867`, 0.2952475605424042}, {1.6599999999999866`, 
         0.2952460649016608}, {1.6649999999999865`, 0.2952444302820699}, {
         1.6699999999999864`, 0.29524264250697124`}, {1.6749999999999863`, 
         0.2952406858308557}, {1.6799999999999862`, 0.29523854275292577`}, {
         1.684999999999986, 0.29523619380707417`}, {1.689999999999986, 
         0.2952336173251342}, {1.6949999999999859`, 0.29523078916981027`}, {
         1.6999999999999857`, 0.2952276824331929}, {1.7049999999999856`, 
         0.2952242670961807}, {1.7099999999999855`, 0.29522050964347013`}, {
         1.7149999999999854`, 0.2952163726280029}, {1.7199999999999853`, 
         0.2952118141778836}, {1.7249999999999852`, 0.2952067874377718}, {
         1.729999999999985, 0.29520123993557856`}, {1.734999999999985, 
         0.2951951128639609}, {1.739999999999985, 0.29518834026454943`}, {
         1.7449999999999848`, 0.2951808481010637}, {1.7499999999999847`, 
         0.2951725532053773}, {1.7549999999999846`, 0.29516336207821736`}, {
         1.7599999999999845`, 0.29515316952338194`}, {1.7649999999999844`, 
         0.2951418570911308}, {1.7699999999999843`, 0.2951292913026462}, {
         1.7749999999999841`, 0.2951153216230745}, {1.779999999999984, 
         0.2950997781455361}, {1.784999999999984, 0.295082468942512}, {
         1.7899999999999838`, 0.2950631770339786}, {1.7949999999999837`, 
         0.29504165691341283`}, {1.7999999999999836`, 0.29501763056305574`}, {
         1.8049999999999835`, 0.294990782878303}, {1.8099999999999834`, 
         0.29496075640747405`}, {1.8149999999999833`, 0.29492714529696634`}, {
         1.8199999999999832`, 0.294889488312478}, {1.824999999999983, 
         0.2948472607838107}, {1.829999999999983, 0.29479986529299934`}, {
         1.8349999999999829`, 0.29474662089204173`}, {1.8399999999999828`, 
         0.2946867505961225}, {1.8449999999999827`, 0.2946193668493384}, {
         1.8499999999999825`, 0.29454345460064674`}, {1.8549999999999824`, 
         0.2944578515557703}, {1.8599999999999823`, 0.2943612250833315}, {
         1.8649999999999822`, 0.29425204514733083`}, {1.8699999999999821`, 
         0.294128552509517}, {1.874999999999982, 0.2939887212902456}, {
         1.879999999999982, 0.2938302147910886}, {1.8849999999999818`, 
         0.29365033326355694`}, {1.8899999999999817`, 0.2934459520546904}, {
         1.8949999999999816`, 0.29321344827555945`}, {1.8999999999999815`, 
         0.2929486138355304}, {1.9049999999999814`, 0.2926465523932361}, {
         1.9099999999999813`, 0.2923015575547827}, {1.9149999999999812`, 
         0.2919069696152102}, {1.919999999999981, 0.29145500849865996`}, {
         1.924999999999981, 0.29093658167570713`}, {1.9299999999999808`, 
         0.29034106836760665`}, {1.9349999999999807`, 0.2896560863968707}, {
         1.9399999999999806`, 0.28886725750041947`}, {1.9449999999999805`, 
         0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
         1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
         0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
         1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
         0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
         1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
         0.27133320006818523`}, {1.9949999999999795`, 0.26870588461903755`}, {
         1.9999999999999793`, 0.2663734686978677}, {2.0049999999999795`, 
         0.26474245670712593`}, {2.0099999999999794`, 0.2643407457017548}, {
         2.0149999999999793`, 0.26571006387409535`}, {2.019999999999979, 
         0.2691609301252263}, {2.024999999999979, 0.2744257058130713}, {
         2.029999999999979, 0.28040919466673464`}, {2.034999999999979, 
         0.2853335787509585}, {2.0399999999999787`, 0.28735730655894914`}, {
         2.0449999999999786`, 0.2852885977626245}, {2.0499999999999785`, 
         0.2788619958964226}, {2.0549999999999784`, 0.26846167313121877`}, {
         2.0599999999999783`, 0.254636726510077}, {2.064999999999978, 
         0.23777316234595222`}, {2.069999999999978, 0.21803341330113915`}, {
         2.074999999999978, 0.19549507748201408`}, {2.079999999999978, 
         0.17038767645030584`}, {2.0849999999999778`, 0.14333787957246127`}, {
         2.0899999999999777`, 0.11551982785776609`}, {2.0949999999999775`, 
         0.08858954968206668}, {2.0999999999999774`, 0.06434081131578437}, {
         2.1049999999999773`, 0.04419102304430717}, {2.1099999999999772`, 
         0.028772268753306386`}, {2.114999999999977, 0.017865607533154408`}, {
         2.119999999999977, 0.010670313438650268`}, {2.124999999999977, 
         0.006189493912724943}, {2.129999999999977, 
         0.003520407039602143}}, $CellContext`\[CapitalDelta]t2 = 
       0.005, $CellContext`v1 = 0.6215175440323613, $CellContext`kdrag = 
       0.006142725885016496, $CellContext`k2[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          
          Blank[]]] := (((
           3 $CellContext`Br^2) ((Pi $CellContext`rm^2) $CellContext`hm)^2)/((
          1024 Pi) 
         Part[$CellContext`\[Rho], $CellContext`im])) ((-(((
              8 $CellContext`a^2) ($CellContext`L - \
$CellContext`z))/($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)^3) - \
(2 ($CellContext`L - $CellContext`z))/($CellContext`a^2 + ($CellContext`L - \
$CellContext`z)^2)^2 + (
            5 ($CellContext`L - $CellContext`z))/($CellContext`a^2 \
($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)) + ((
             8 $CellContext`b^2) ($CellContext`L - \
$CellContext`z))/($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)^3 + \
(2 ($CellContext`L - $CellContext`z))/($CellContext`b^2 + ($CellContext`L - \
$CellContext`z)^2)^2 - (
           5 ($CellContext`L - $CellContext`z))/($CellContext`b^2 \
($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)) + (5 
            ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`b])/$CellContext`b^3) + ((-$CellContext`z) ((
              8 $CellContext`a^2)/($CellContext`a^2 + $CellContext`z^2)^3 + 
            2/($CellContext`a^2 + $CellContext`z^2)^2 - 
            5/($CellContext`a^2 ($CellContext`a^2 + $CellContext`z^2)) - (
             8 $CellContext`b^2)/($CellContext`b^2 + $CellContext`z^2)^3 - 
            2/($CellContext`b^2 + $CellContext`z^2)^2 + 
            5/($CellContext`b^2 ($CellContext`b^2 + $CellContext`z^2))) + (5 
            ArcTan[$CellContext`z/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[$CellContext`z/$CellContext`b])/$CellContext`b^3)), \
$CellContext`\[Rho] = {1.7*^-8, 2.8*^-8}, $CellContext`k1int[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]]] := ((2 Pi)/Part[$CellContext`\[Rho], $CellContext`im]) 
        NIntegrate[$CellContext`r $CellContext`Bro1[$CellContext`z - \
$CellContext`zz, $CellContext`r, $CellContext`rm, $CellContext`hm/
             2, $CellContext`Br]^2, {$CellContext`r, $CellContext`a, \
$CellContext`b}, {$CellContext`zz, 0, $CellContext`L}, PrecisionGoal -> 7, 
          WorkingPrecision -> 12, MaxPoints -> 500], $CellContext`Bro1[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`r, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm2, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]]] := ($CellContext`Br ($CellContext`rm/(2 
          Pi))) (((($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2) 
            EllipticE[((
                4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 + $CellContext`z)^2)
             EllipticK[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
          Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2]) - ((($CellContext`rm + $CellContext`r)^2 + \
($CellContext`hm2 - $CellContext`z)^2) 
           EllipticE[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 - $CellContext`z)^2)
            EllipticK[((
              4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
         Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2])), $CellContext`v2 = 0.6215175440323613, $CellContext`g = 
       9.8, $CellContext`\[Rho]m = 7400, $CellContext`tmax := 
       Part[$CellContext`arr, 1, -1, 1], $CellContext`s = 
       0.16999999999999998`, $CellContext`tL0 = 
       0.07353260944444752, $CellContext`tL2 = 
       1.0448289344590722`, $CellContext`tL = 
       2.0323529089865136`, $CellContext`Vm = 
       4.071504079052372*^-6, $CellContext`vtint = 
       8.510448889591245, $CellContext`vt0 = 
       7.249586905829745, $CellContext`color1 = {
         RGBColor[1, 0.9, 0.7], 
         RGBColor[0.9, 0.9, 0.9]}, $CellContext`color2 = {
         RGBColor[0.7, 0.4, 0.4], 
         RGBColor[0.5, 0.5, 0.5]}, $CellContext`hm0 = 0.016, 
       Attributes[Subscript] = {NHoldRest}, 
       Attributes[PlotRange] = {ReadProtected}}; Typeset`initDone$$ = True),
    SynchronousInitialization->False,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellID->583107493,ExpressionUUID->"7d51f568-331d-4062-9680-4c2f818cfb1e"]
}, Open  ]],

Cell[CellGroupData[{

Cell["", "SnapshotsSection",ExpressionUUID->"a6b90e39-4e83-44ce-80c5-2f7dd005d57c"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`bd$$ = 26.5, $CellContext`Br$$ = 
    1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
    0.005, $CellContext`graf$$ = 2, $CellContext`Hm$$ = 
    16., $CellContext`im$$ = 1, $CellContext`L$$ = 0.1, $CellContext`line$$ = 
    True, $CellContext`Rm$$ = 9., $CellContext`time$$ = 
    0.16, $CellContext`Z0$$ = -2., Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {
    "\"Coinciding of models\"" :> {$CellContext`L$$ = 0.1, $CellContext`bd$$ = 
       25., $CellContext`d$$ = 1/1000., $CellContext`im$$ = 
       1, $CellContext`Rm$$ = 9., $CellContext`Hm$$ = 14, $CellContext`Br$$ = 
       1, $CellContext`dt$$ = 0.005}, 
     "\"My experiment - Good adreement with model2!\"" :> {$CellContext`L$$ = 
       0.5, $CellContext`bd$$ = 25., $CellContext`d$$ = 
       2./1000, $CellContext`im$$ = 2, $CellContext`Rm$$ = 
       9, $CellContext`Hm$$ = 7.9, $CellContext`Br$$ = 
       0.85, $CellContext`dt$$ = 0.005}}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`L$$], 0.1, 
       Row[{
         Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05}, {{
       Hold[$CellContext`bd$$], 26.5, 
       Row[{
         Subscript[
          Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5}, {{
       Hold[$CellContext`d$$], 0.002, 
       Row[{"\[CapitalDelta]", " (mm)"}]}, {
      0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
       "3"}}, {{
       Hold[$CellContext`im$$], 1, "metal"}, {1 -> "Cu", 2 -> "Al"}}, {
      Hold[
       Row[{
         Text[
          Style["tube: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Manipulate`Place[1], 
         Spacer[20], 
         Manipulate`Place[2], 
         Spacer[20], 
         Manipulate`Place[3], 
         Spacer[20], 
         Manipulate`Place[4]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Rm$$], 9., 
       Row[{
         Subscript[
          Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1}, {{
       Hold[$CellContext`Hm$$], 16., 
       Row[{
         Subscript[
          Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5}, {{
       Hold[$CellContext`Br$$], 1., 
       Row[{
         Subscript[
          Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1}, {
      Hold[
       Row[{
         Text[
          Style["magnet: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Spacer[20], 
         Manipulate`Place[5], 
         Spacer[20], 
         Manipulate`Place[6], 
         Spacer[20], 
         Manipulate`Place[7]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Z0$$], -2., 
       Row[{"initial position ", 
         Subscript[
          Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1}, {{
       Hold[$CellContext`graf$$], 2, "graphics"}, {0 -> Row[{
          Style["z", Italic], "(", 
          Style["t", Italic], ")"}], 1 -> Row[{
          Style["v", Italic], "(", 
          Style["t", Italic], ")"}], 2 -> Row[{
          Style["v", Italic], "(", 
          Style["z", Italic], ")"}], 3 -> Row[{
          Style["k", Italic], "(", 
          Style["z", Italic], ")"}], 4 -> Row[{
          Style["F", Italic], "(", 
          Style["z", Italic], ")"}]}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[8], 
         Spacer[5], 
         Manipulate`Place[9]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`time$$], 0.16, "time (s)"}, 0, 
      Dynamic[
       Round[($CellContext`L$$ + Abs[$CellContext`z0]) (110/$CellContext`vt0),
         0.01]], 0.02}, {{
       Hold[$CellContext`dt$$], 0.005, 
       Row[{"\[CapitalDelta]", 
         Style["t", Italic], " (ms)"}]}, {
      0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}}, {{
       Hold[$CellContext`line$$], True, "connect"}, {True, False}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[10], 
         Spacer[20], 
         Manipulate`Place[11], 
         Spacer[20], 
         Manipulate`Place[12], Null}]], Manipulate`Dump`ThisIsNotAControl}}, 
    Typeset`size$$ = {593., {204.693115234375, 211.306884765625}}, 
    Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     2, StandardForm, 
      "Variables" :> {$CellContext`bd$$ = 26.5, $CellContext`Br$$ = 
        1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
        0.005, $CellContext`graf$$ = 2, $CellContext`Hm$$ = 
        16., $CellContext`im$$ = 1, $CellContext`L$$ = 
        0.1, $CellContext`line$$ = True, $CellContext`Rm$$ = 
        9., $CellContext`time$$ = 0.16, $CellContext`Z0$$ = -2.}, 
      "ControllerVariables" :> {}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> Quiet[
        Block[{$CellContext`gr0, $CellContext`gr1, $CellContext`gr2}, If[
           
           Or[$CellContext`bd$$ != $CellContext`bd0, $CellContext`d$$ != \
$CellContext`d0, $CellContext`L$$ != $CellContext`L0, $CellContext`Z0$$ != \
$CellContext`Z00, $CellContext`Rm$$ != $CellContext`Rm0, $CellContext`Hm$$ != \
$CellContext`Hm0, $CellContext`Br$$ != $CellContext`B0, $CellContext`im$$ != \
$CellContext`im0, $CellContext`model != $CellContext`model0, \
$CellContext`dt$$ != $CellContext`dt0], $CellContext`b = ($CellContext`bd$$/
              2)/1000; $CellContext`bd0 = $CellContext`bd$$; $CellContext`d0 = \
$CellContext`d$$; $CellContext`L0 = $CellContext`L$$; $CellContext`im0 = \
$CellContext`im$$; $CellContext`Z00 = $CellContext`Z0$$; $CellContext`z0 = \
$CellContext`Z0$$/
             
             100; $CellContext`Rm0 = $CellContext`Rm$$; $CellContext`rm = \
$CellContext`Rm$$/
             1000; $CellContext`Hm0 = $CellContext`Hm$$; $CellContext`hm = \
$CellContext`Hm$$/
             1000; $CellContext`B0 = $CellContext`Br$$; $CellContext`model0 = \
($CellContext`model = 
             1); $CellContext`arr = $CellContext`farr[$CellContext`b - \
$CellContext`d$$, $CellContext`b, $CellContext`L$$, $CellContext`z0, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$, \
$CellContext`model, $CellContext`dt$$]; $CellContext`tmax := 
            Part[$CellContext`arr, 1, -1, 1]; 
           Null]; $CellContext`s = $CellContext`L$$ - Interpolation[
            Part[$CellContext`arr, 1]][$CellContext`time$$]; $CellContext`tL0 = 
          If[$CellContext`z0 <= 0, 
            Interpolation[
             Reverse[
              Part[$CellContext`arr, 1], 2]][0], -0.1]; $CellContext`tL2 = 
          Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 2]][$CellContext`L$$/
            2.]; $CellContext`tL = Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 
             2]][$CellContext`L$$]; $CellContext`a = $CellContext`b - \
$CellContext`d$$; $CellContext`Vm = (
            Pi $CellContext`rm^2) $CellContext`hm; $CellContext`vtint = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k1int[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`vt0 = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k2[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`color1 = {
            RGBColor[1, 0.9, 0.7], 
            RGBColor[0.9, 0.9, 0.9]}; $CellContext`color2 = {
            RGBColor[0.7, 0.4, 0.4], 
            RGBColor[0.5, 0.5, 0.5]}; $CellContext`gr1 = Show[
            Graphics[{
              Thickness[0.0007], 
              RGBColor[0, 0, 0], 
              Arrowheads[0.1], 
              
              Arrow[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ + 
                 Abs[$CellContext`z0] + $CellContext`hm0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], -
                  Abs[$CellContext`z0/2] - $CellContext`hm0}}], 
              Text[
               Subscript[
                Style["z", Italic, 13], 0], {(-0.14) 
                Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}], 
              Text[
               Style[
               "0", 12], {(-0.12) Sqrt[$CellContext`L$$], $CellContext`L$$}], 
              Text[
               Row[{
                 Style["L", Italic], "/2"}], {(-0.12) 
                Sqrt[$CellContext`L$$], $CellContext`L$$/2}], 
              Text[
               Style["L", Italic, 12], {(-0.12) Sqrt[$CellContext`L$$], 0}], 
              Text[
               Style[
               "z", Italic, 13], {(-0.105) 
                Sqrt[$CellContext`L$$], (-$CellContext`L$$)/20 - 
                Abs[$CellContext`z0/3]}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], 0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], 0}}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/2}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}, \
{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}}], 
              Dashed, 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], 0}, {-$CellContext`b, 
                 0}}], 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {-$CellContext`b, $CellContext`L$$/2}}], 
              
              Line[{{(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {-$CellContext`b, \
$CellContext`L$$}}], 
              Part[$CellContext`color1, $CellContext`im$$], 
              Rectangle[{-$CellContext`a, 
                0}, {$CellContext`a, $CellContext`L$$}], 
              Part[$CellContext`color2, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`b, -0.0005}, {-$CellContext`b + \
$CellContext`d$$ + 0.0001, $CellContext`L$$ + 0.0005}], 
              
              Rectangle[{$CellContext`b - $CellContext`d$$, -0.001}, \
{$CellContext`b, $CellContext`L$$ + 0.001}], 
              RGBColor[0.3, 0.5, 0.7], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s - $CellContext`hm/
                2}, {$CellContext`rm, $CellContext`s}], 
              RGBColor[0.7, 0.5, 0.4], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s}, {$CellContext`rm, \
$CellContext`hm/2 + $CellContext`s}]}], 
            PlotRange -> {(-$CellContext`L$$)/10 - Abs[$CellContext`z0], 
              11 ($CellContext`L$$/10) + Abs[$CellContext`z0]}, Frame -> 
            False, ImageSize -> 0.9 {150, 370}]; $CellContext`gr2 = 
          Which[$CellContext`graf$$ == 0, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 1], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.03, 0.}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.03, $CellContext`L$$/2}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.03, $CellContext`L$$}], Gray, 
                Line[{{0, 0}, {5, 0}}], 
                Line[{{0, $CellContext`L$$/2}, {5, $CellContext`L$$/2}}], 
                Line[{{0, $CellContext`L$$}, {5, $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL0, $CellContext`z0}, {$CellContext`tL0, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL2, $CellContext`z0}, {$CellContext`tL2, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL, $CellContext`z0}, {$CellContext`tL, 
                   1.3 $CellContext`L$$}}], Red, 
                PointSize[0.03], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$]}]}, Frame -> 
              True, FrameStyle -> {Black}, AspectRatio -> 1, 
              ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{"Dependence of coordinate on time ", 
                  Style["z", Italic], "(", 
                  Style["t", Italic], ")"}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 1, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 2], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              AxesOrigin -> {0, 0}, Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.015, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.01, 0.05}], Gray, 
                Line[{{$CellContext`tL0, 0}, {$CellContext`tL0, 5}}], 
                Line[{{$CellContext`tL2, 0}, {$CellContext`tL2, 5}}], 
                Line[{{$CellContext`tL, 0}, {$CellContext`tL, 5}}], Red, 
                PointSize[0.025], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, Frame -> 
              True, AspectRatio -> 1, ImageSize -> {330, 330}, LabelStyle -> 
              10], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on time", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 2, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 3], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, Frame -> True, 
              Axes -> False, Epilog -> {
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 14], {
                 0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`L$$/2 - 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`L$$ - 
                  0.01, 0.05}], Gray, Dashed, 
                Line[{{0, 0}, {0, 5}}], 
                Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                PointSize[0.025], 
                Point[{
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$], 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, 
              AspectRatio -> 1, ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on position", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 3, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 4], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Gray, Dashed, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 6]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["k", Italic], "  Ns/m"}], Black, 15], 
               Style[
                Row[{"Dependence of drag coefficient on ", 
                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 4, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 5], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Dashed, Gray, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 7]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["F", Italic], "  N"}], Black, 15], 
               Style[
                Row[{"Dependence of drag force on ", 
                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 12]]; 
         Grid[{{$CellContext`gr1, $CellContext`gr2}}]]], 
      "Specifications" :> {{{$CellContext`L$$, 0.1, 
          Row[{
            Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05, ImageSize -> Tiny, 
         ControlPlacement -> 1}, {{$CellContext`bd$$, 26.5, 
          Row[{
            Subscript[
             Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5, ImageSize -> 
         Tiny, ControlPlacement -> 2}, {{$CellContext`d$$, 0.002, 
          Row[{"\[CapitalDelta]", " (mm)"}]}, {
         0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
          "3"}, ControlType -> Setter, ControlPlacement -> 
         3}, {{$CellContext`im$$, 1, "metal"}, {1 -> "Cu", 2 -> "Al"}, 
         ControlType -> Setter, ControlPlacement -> 4}, 
        Row[{
          Text[
           Style["tube: ", 12, 
            RGBColor[0.4, 0.2, 0.2]]], 
          Manipulate`Place[1], 
          Spacer[20], 
          Manipulate`Place[2], 
          Spacer[20], 
          Manipulate`Place[3], 
          Spacer[20], 
          Manipulate`Place[4]}], {{$CellContext`Rm$$, 9., 
          Row[{
            Subscript[
             Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1, ImageSize -> 
         Tiny, ControlPlacement -> 5}, {{$CellContext`Hm$$, 16., 
          Row[{
            Subscript[
             Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5, ImageSize -> 
         Tiny, ControlPlacement -> 6}, {{$CellContext`Br$$, 1., 
          Row[{
            Subscript[
             Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1, ImageSize -> 
         Tiny, Appearance -> "Labeled", ControlPlacement -> 7}, 
        Row[{
          Text[
           Style["magnet: ", 12, 
            RGBColor[0.4, 0.2, 0.2]]], 
          Spacer[20], 
          Manipulate`Place[5], 
          Spacer[20], 
          Manipulate`Place[6], 
          Spacer[20], 
          Manipulate`Place[7]}], {{$CellContext`Z0$$, -2., 
          Row[{"initial position ", 
            Subscript[
             Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1, ImageSize -> 
         Tiny, Appearance -> "Labeled", ControlPlacement -> 
         8}, {{$CellContext`graf$$, 2, "graphics"}, {0 -> Row[{
             Style["z", Italic], "(", 
             Style["t", Italic], ")"}], 1 -> Row[{
             Style["v", Italic], "(", 
             Style["t", Italic], ")"}], 2 -> Row[{
             Style["v", Italic], "(", 
             Style["z", Italic], ")"}], 3 -> Row[{
             Style["k", Italic], "(", 
             Style["z", Italic], ")"}], 4 -> Row[{
             Style["F", Italic], "(", 
             Style["z", Italic], ")"}]}, ControlType -> Setter, 
         ControlPlacement -> 9}, 
        Row[{
          Spacer[30], 
          Manipulate`Place[8], 
          Spacer[5], 
          Manipulate`Place[9]}], {{$CellContext`time$$, 0.16, "time (s)"}, 0, 
         Dynamic[
          
          Round[($CellContext`L$$ + Abs[$CellContext`z0]) (
            110/$CellContext`vt0), 0.01]], 0.02, Appearance -> "Labeled", 
         ControlPlacement -> 10}, {{$CellContext`dt$$, 0.005, 
          Row[{"\[CapitalDelta]", 
            Style["t", Italic], " (ms)"}]}, {
         0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}, ControlType -> Setter, 
         ControlPlacement -> 11}, {{$CellContext`line$$, True, "connect"}, {
         True, False}, ControlPlacement -> 12}, 
        Row[{
          Spacer[30], 
          Manipulate`Place[10], 
          Spacer[20], 
          Manipulate`Place[11], 
          Spacer[20], 
          Manipulate`Place[12], Null}]}, 
      "Options" :> {
       SynchronousInitialization -> False, SynchronousUpdating -> False, 
        TrackedSymbols :> {$CellContext`bd$$, $CellContext`d$$, \
$CellContext`L$$, $CellContext`Z0$$, $CellContext`Rm$$, $CellContext`Hm$$, \
$CellContext`Br$$, $CellContext`im$$, $CellContext`time$$, \
$CellContext`graf$$, $CellContext`model, $CellContext`line$$, \
$CellContext`dt$$}, ContentSize -> {600, 400}, Alignment -> Center}, 
      "DefaultOptions" :> {ControllerLinking -> True}],
     ImageSizeCache->{766., {330., 337.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    Initialization:>({$CellContext`bd0 = 24., $CellContext`d0 = 
       0.0015, $CellContext`L0 = 
       0.15, $CellContext`Z00 = -2., $CellContext`Rm0 = 9., $CellContext`Hm0 = 
       16., $CellContext`Br$$ = 1., $CellContext`B0 = 1., $CellContext`im$$ = 
       1, $CellContext`im0 = 1, $CellContext`model = 1, $CellContext`model0 = 
       1, $CellContext`dt$$ = 0.005, $CellContext`dt0 = 0.005, $CellContext`b = 
       0.012, $CellContext`z0 = -0.02, $CellContext`rm = 
       0.009, $CellContext`hm = 
       0.016, $CellContext`arr = {{{0, -0.02}, {0.005, -0.019755}, {
          0.01, -0.019266238967429107`}, {0.015, -0.01853528410729287}, {
          0.02, -0.01756441619273408}, {0.025, -0.016357311980323013`}, {
          0.030000000000000002`, -0.014920366897868931`}, {
          0.035, -0.013265383906986884`}, {0.04, -0.011415104704255845`}, {
          0.045, -0.009414018916628932}, {
          0.049999999999999996`, -0.007345465008294092}, {
          0.05499999999999999, -0.005342286756433732}, {
          0.05999999999999999, -0.0035499908229159154`}, {
          0.06499999999999999, -0.0020387337009608866`}, {
          0.06999999999999999, -0.0007778462560007555}, {0.075, 
          0.0003026967471549517}, {0.08, 0.001263029026536534}, {0.085, 
          0.002141350003900505}, {0.09000000000000001, 
          0.0029575983329447686`}, {0.09500000000000001, 
          0.00372017319860288}, {0.10000000000000002`, 
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          0.005095095343541415}, {0.11000000000000003`, 
          0.00571244949385324}, {0.11500000000000003`, 
          0.006288824023646791}, {0.12000000000000004`, 
          0.00682994533745198}, {0.12500000000000003`, 
          0.0073416782194035924`}, {0.13000000000000003`, 
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          0.008749988867865911}, {0.14500000000000005`, 
          0.00918947153838394}, {0.15000000000000005`, 
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          0.010038302525097593`}, {0.16000000000000006`, 
          0.010450853148886137`}, {0.16500000000000006`, 
          0.010857102885880645`}, {0.17000000000000007`, 
          0.011257976227417664`}, {0.17500000000000007`, 
          0.011654233965641254`}, {0.18000000000000008`, 
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          0.012435331661964064`}, {0.19000000000000009`, 
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          0.013204350187621818`}, {0.2000000000000001, 
          0.013585254704223157`}, {0.2050000000000001, 
          0.013964145966585625`}, {0.2100000000000001, 
          0.014341266473815596`}, {0.2150000000000001, 
          0.014716826272007705`}, {0.2200000000000001, 
          0.015091007868656747`}, {0.22500000000000012`, 
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          0.019515977389427803`}, {0.28500000000000014`, 
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          0.02097656408595269}, {0.30500000000000016`, 
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          0.021705530770821678`}, {0.31500000000000017`, 
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          0.3250000000000002, 0.02279776431924471}, {0.3300000000000002, 
          0.02316157698779653}, {0.3350000000000002, 0.023525277424028476`}, {
          0.3400000000000002, 0.023888876006336077`}, {0.3450000000000002, 
          0.02425238207329554}, {0.3500000000000002, 0.02461580403530727}, {
          0.3550000000000002, 0.024979149473491773`}, {0.3600000000000002, 
          0.0253424252273792}, {0.3650000000000002, 0.02570563747273661}, {
          0.3700000000000002, 0.02606879179070654}, {0.3750000000000002, 
          0.026431893229283025`}, {0.3800000000000002, 0.026794946358023295`},
           {0.38500000000000023`, 0.02715795531678234}, {0.39000000000000024`,
           0.02752092385916102}, {0.39500000000000024`, 
          0.027883855391274213`}, {0.40000000000000024`, 
          0.028246753006372367`}, {0.40500000000000025`, 
          0.02860961951578563}, {0.41000000000000025`, 
          0.028972457476603992`}, {0.41500000000000026`, 
          0.029335269216457866`}, {0.42000000000000026`, 
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          0.030060822327417618`}, {0.43000000000000027`, 
          0.03042356739509141}, {0.4350000000000003, 0.030786293668847626`}, {
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          0.031511695592921336`}, {0.4500000000000003, 0.03187437381896139}, {
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          0.03259969044267151}, {0.4650000000000003, 0.03296233081945376}, {
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          0.03368758005266686}, {0.4800000000000003, 0.034050190439207526`}, {
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          0.03477538612515347}, {0.49500000000000033`, 0.0351379726146109}, {
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          0.035863125517433245`}, {0.5100000000000003, 0.03622569286171898}, {
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          0.03695081139983353}, {0.5250000000000004, 0.037313363325942185`}, {
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          0.038038454120051225`}, {0.5400000000000004, 0.03840099356718094}, {
          0.5450000000000004, 0.038763529398293896`}, {0.5500000000000004, 
          0.039126061852286245`}, {0.5550000000000004, 0.03948859115065338}, {
          0.5600000000000004, 0.039851117498870964`}, {0.5650000000000004, 
          0.04021364108765776}, {0.5700000000000004, 0.0405761620941311}, {
          0.5750000000000004, 0.04093868068286474}, {0.5800000000000004, 
          0.04130119700685794}, {0.5850000000000004, 0.041663711208423694`}, {
          0.5900000000000004, 0.0420262234200034}, {0.5950000000000004, 
          0.04238873376491446}, {0.6000000000000004, 0.042751242358036706`}, {
          0.6050000000000004, 0.04311374930644304}, {0.6100000000000004, 
          0.04347625470997916}, {0.6150000000000004, 0.04383875866179674}, {
          0.6200000000000004, 0.044201261248844104`}, {0.6250000000000004, 
          0.04456376255231798}, {0.6300000000000004, 0.044926262648079744`}, {
          0.6350000000000005, 0.045288761607039006`}, {0.6400000000000005, 
          0.04565125949550743}, {0.6450000000000005, 0.046013756375525176`}, {
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          0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
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          0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
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          0.28735730655894914`}, {2.0449999999999786`, 0.2852885977626245}, {
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          0.26846167313121877`}, {2.0599999999999783`, 0.254636726510077}, {
          2.064999999999978, 0.23777316234595222`}, {2.069999999999978, 
          0.21803341330113915`}, {2.074999999999978, 0.19549507748201408`}, {
          2.079999999999978, 0.17038767645030584`}, {2.0849999999999778`, 
          0.14333787957246127`}, {2.0899999999999777`, 
          0.11551982785776609`}, {2.0949999999999775`, 0.08858954968206668}, {
          2.0999999999999774`, 0.06434081131578437}, {2.1049999999999773`, 
          0.04419102304430717}, {2.1099999999999772`, 
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          0.017865607533154408`}, {2.119999999999977, 
          0.010670313438650268`}, {2.124999999999977, 0.006189493912724943}, {
          2.129999999999977, 0.003520407039602143}}}, $CellContext`farr[
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`z0, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]], 
         Pattern[$CellContext`model, 
          Blank[]], 
         Pattern[$CellContext`dt, 
          Blank[]]] := 
       Block[{$CellContext`zz = $CellContext`z0, $CellContext`t2 = 
          0}, $CellContext`ff = {}; $CellContext`vv = {}; $CellContext`vs = \
{}; $CellContext`ss = {}; $CellContext`kk = {}; $CellContext`kt = {}; \
$CellContext`ft = {}; $CellContext`t2 = 
          0; $CellContext`\[CapitalDelta]t2 = $CellContext`dt; \
$CellContext`v1 = 0; 
         While[$CellContext`zz <= (11/10) $CellContext`L + 
            Abs[$CellContext`z0]/
             2, $CellContext`zz = $CellContext`zz + $CellContext`v1 \
$CellContext`\[CapitalDelta]t2; $CellContext`kdrag = 
            If[$CellContext`model == 1, 
              $CellContext`k2[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im], 
              $CellContext`k1int[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im]]; $CellContext`v2 = $CellContext`v1 + \
$CellContext`g $CellContext`\[CapitalDelta]t2 - \
(($CellContext`kdrag/((($CellContext`\[Rho]m 
                 Pi) $CellContext`rm^2) $CellContext`hm)) $CellContext`v1) \
$CellContext`\[CapitalDelta]t2; 
           AppendTo[$CellContext`ss, {$CellContext`t2, $CellContext`zz}]; 
           AppendTo[$CellContext`vv, {$CellContext`t2, $CellContext`v1}]; 
           AppendTo[$CellContext`vs, {$CellContext`zz, $CellContext`v1}]; 
           AppendTo[$CellContext`kk, {$CellContext`zz, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ff, {$CellContext`zz, $CellContext`kdrag \
$CellContext`v1}]; 
           AppendTo[$CellContext`kt, {$CellContext`t2, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ft, {$CellContext`t2, $CellContext`kdrag \
$CellContext`v1}]; $CellContext`t2 = $CellContext`t2 + $CellContext`\
\[CapitalDelta]t2; $CellContext`v1 = $CellContext`v2]; $CellContext`arr = \
{$CellContext`ss, $CellContext`vv, $CellContext`vs, $CellContext`kk, \
$CellContext`ff, $CellContext`kt, $CellContext`ft}], $CellContext`a = 
       0.0105, $CellContext`ff = CompressedData["
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       0.006142725885016496, $CellContext`k2[
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         Pattern[$CellContext`a, 
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         Pattern[$CellContext`b, 
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          Blank[]], 
         Pattern[$CellContext`hm, 
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         Pattern[$CellContext`Br, 
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         Pattern[$CellContext`im, 
          
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         Part[$CellContext`\[Rho], $CellContext`im])) ((-(((
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$CellContext`z))/($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)^3) - \
(2 ($CellContext`L - $CellContext`z))/($CellContext`a^2 + ($CellContext`L - \
$CellContext`z)^2)^2 + (
            5 ($CellContext`L - $CellContext`z))/($CellContext`a^2 \
($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)) + ((
             8 $CellContext`b^2) ($CellContext`L - \
$CellContext`z))/($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)^3 + \
(2 ($CellContext`L - $CellContext`z))/($CellContext`b^2 + ($CellContext`L - \
$CellContext`z)^2)^2 - (
           5 ($CellContext`L - $CellContext`z))/($CellContext`b^2 \
($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)) + (5 
            ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`b])/$CellContext`b^3) + ((-$CellContext`z) ((
              8 $CellContext`a^2)/($CellContext`a^2 + $CellContext`z^2)^3 + 
            2/($CellContext`a^2 + $CellContext`z^2)^2 - 
            5/($CellContext`a^2 ($CellContext`a^2 + $CellContext`z^2)) - (
             8 $CellContext`b^2)/($CellContext`b^2 + $CellContext`z^2)^3 - 
            2/($CellContext`b^2 + $CellContext`z^2)^2 + 
            5/($CellContext`b^2 ($CellContext`b^2 + $CellContext`z^2))) + (5 
            ArcTan[$CellContext`z/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[$CellContext`z/$CellContext`b])/$CellContext`b^3)), \
$CellContext`\[Rho] = {1.7*^-8, 2.8*^-8}, $CellContext`k1int[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]]] := ((2 Pi)/Part[$CellContext`\[Rho], $CellContext`im]) 
        NIntegrate[$CellContext`r $CellContext`Bro1[$CellContext`z - \
$CellContext`zz, $CellContext`r, $CellContext`rm, $CellContext`hm/
             2, $CellContext`Br]^2, {$CellContext`r, $CellContext`a, \
$CellContext`b}, {$CellContext`zz, 0, $CellContext`L}, PrecisionGoal -> 7, 
          WorkingPrecision -> 12, MaxPoints -> 500], $CellContext`Bro1[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`r, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm2, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]]] := ($CellContext`Br ($CellContext`rm/(2 
          Pi))) (((($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2) 
            EllipticE[((
                4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 + $CellContext`z)^2)
             EllipticK[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
          Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2]) - ((($CellContext`rm + $CellContext`r)^2 + \
($CellContext`hm2 - $CellContext`z)^2) 
           EllipticE[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 - $CellContext`z)^2)
            EllipticK[((
              4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
         Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2])), $CellContext`v2 = 0.6215175440323613, $CellContext`g = 
       9.8, $CellContext`\[Rho]m = 7400, $CellContext`tmax := 
       Part[$CellContext`arr, 1, -1, 1], $CellContext`s = 
       0.16999999999999998`, $CellContext`tL0 = 
       0.07353260944444752, $CellContext`tL2 = 
       1.0448289344590722`, $CellContext`tL = 
       2.0323529089865136`, $CellContext`Vm = 
       4.071504079052372*^-6, $CellContext`vtint = 
       8.510448889591245, $CellContext`vt0 = 
       7.249586905829745, $CellContext`color1 = {
         RGBColor[1, 0.9, 0.7], 
         RGBColor[0.9, 0.9, 0.9]}, $CellContext`color2 = {
         RGBColor[0.7, 0.4, 0.4], 
         RGBColor[0.5, 0.5, 0.5]}, $CellContext`hm0 = 0.016, 
       Attributes[Subscript] = {NHoldRest}, 
       Attributes[PlotRange] = {ReadProtected}}; Typeset`initDone$$ = True),
    SynchronousInitialization->False,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellID->1319753590,ExpressionUUID->"d8ce27e1-3c89-4337-a7be-9ede41c29d71"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`bd$$ = 26.5, $CellContext`Br$$ = 
    1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
    0.005, $CellContext`graf$$ = 2, $CellContext`Hm$$ = 
    12.5, $CellContext`im$$ = 1, $CellContext`L$$ = 
    0.25, $CellContext`line$$ = False, $CellContext`Rm$$ = 
    9., $CellContext`time$$ = 0.16, $CellContext`Z0$$ = -3.0000000000000004`, 
    Typeset`show$$ = True, Typeset`bookmarkList$$ = {
    "\"Coinciding of models\"" :> {$CellContext`L$$ = 0.1, $CellContext`bd$$ = 
       25., $CellContext`d$$ = 1/1000., $CellContext`im$$ = 
       1, $CellContext`Rm$$ = 9., $CellContext`Hm$$ = 14, $CellContext`Br$$ = 
       1, $CellContext`dt$$ = 0.005}, 
     "\"My experiment - Good adreement with model2!\"" :> {$CellContext`L$$ = 
       0.5, $CellContext`bd$$ = 25., $CellContext`d$$ = 
       2./1000, $CellContext`im$$ = 2, $CellContext`Rm$$ = 
       9, $CellContext`Hm$$ = 7.9, $CellContext`Br$$ = 
       0.85, $CellContext`dt$$ = 0.005}}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`L$$], 0.25, 
       Row[{
         Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05}, {{
       Hold[$CellContext`bd$$], 26.5, 
       Row[{
         Subscript[
          Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5}, {{
       Hold[$CellContext`d$$], 0.002, 
       Row[{"\[CapitalDelta]", " (mm)"}]}, {
      0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
       "3"}}, {{
       Hold[$CellContext`im$$], 1, "metal"}, {1 -> "Cu", 2 -> "Al"}}, {
      Hold[
       Row[{
         Text[
          Style["tube: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Manipulate`Place[1], 
         Spacer[20], 
         Manipulate`Place[2], 
         Spacer[20], 
         Manipulate`Place[3], 
         Spacer[20], 
         Manipulate`Place[4]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Rm$$], 9., 
       Row[{
         Subscript[
          Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1}, {{
       Hold[$CellContext`Hm$$], 12.5, 
       Row[{
         Subscript[
          Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5}, {{
       Hold[$CellContext`Br$$], 1., 
       Row[{
         Subscript[
          Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1}, {
      Hold[
       Row[{
         Text[
          Style["magnet: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Spacer[20], 
         Manipulate`Place[5], 
         Spacer[20], 
         Manipulate`Place[6], 
         Spacer[20], 
         Manipulate`Place[7]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Z0$$], -3.0000000000000004`, 
       Row[{"initial position ", 
         Subscript[
          Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1}, {{
       Hold[$CellContext`graf$$], 2, "graphics"}, {0 -> Row[{
          Style["z", Italic], "(", 
          Style["t", Italic], ")"}], 1 -> Row[{
          Style["v", Italic], "(", 
          Style["t", Italic], ")"}], 2 -> Row[{
          Style["v", Italic], "(", 
          Style["z", Italic], ")"}], 3 -> Row[{
          Style["k", Italic], "(", 
          Style["z", Italic], ")"}], 4 -> Row[{
          Style["F", Italic], "(", 
          Style["z", Italic], ")"}]}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[8], 
         Spacer[5], 
         Manipulate`Place[9]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`time$$], 0.16, "time (s)"}, 0, 
      Dynamic[
       Round[($CellContext`L$$ + Abs[$CellContext`z0]) (110/$CellContext`vt0),
         0.01]], 0.02}, {{
       Hold[$CellContext`dt$$], 0.005, 
       Row[{"\[CapitalDelta]", 
         Style["t", Italic], " (ms)"}]}, {
      0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}}, {{
       Hold[$CellContext`line$$], False, "connect"}, {True, False}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[10], 
         Spacer[20], 
         Manipulate`Place[11], 
         Spacer[20], 
         Manipulate`Place[12], Null}]], Manipulate`Dump`ThisIsNotAControl}}, 
    Typeset`size$$ = {593., {204.693115234375, 211.306884765625}}, 
    Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     2, StandardForm, 
      "Variables" :> {$CellContext`bd$$ = 26.5, $CellContext`Br$$ = 
        1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
        0.005, $CellContext`graf$$ = 2, $CellContext`Hm$$ = 
        12.5, $CellContext`im$$ = 1, $CellContext`L$$ = 
        0.25, $CellContext`line$$ = False, $CellContext`Rm$$ = 
        9., $CellContext`time$$ = 
        0.16, $CellContext`Z0$$ = -3.0000000000000004`}, 
      "ControllerVariables" :> {}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> Quiet[
        Block[{$CellContext`gr0, $CellContext`gr1, $CellContext`gr2}, If[
           
           Or[$CellContext`bd$$ != $CellContext`bd0, $CellContext`d$$ != \
$CellContext`d0, $CellContext`L$$ != $CellContext`L0, $CellContext`Z0$$ != \
$CellContext`Z00, $CellContext`Rm$$ != $CellContext`Rm0, $CellContext`Hm$$ != \
$CellContext`Hm0, $CellContext`Br$$ != $CellContext`B0, $CellContext`im$$ != \
$CellContext`im0, $CellContext`model != $CellContext`model0, \
$CellContext`dt$$ != $CellContext`dt0], $CellContext`b = ($CellContext`bd$$/
              2)/1000; $CellContext`bd0 = $CellContext`bd$$; $CellContext`d0 = \
$CellContext`d$$; $CellContext`L0 = $CellContext`L$$; $CellContext`im0 = \
$CellContext`im$$; $CellContext`Z00 = $CellContext`Z0$$; $CellContext`z0 = \
$CellContext`Z0$$/
             100; $CellContext`Rm0 = $CellContext`Rm$$; $CellContext`rm = \
$CellContext`Rm$$/
             1000; $CellContext`Hm0 = $CellContext`Hm$$; $CellContext`hm = \
$CellContext`Hm$$/
             1000; $CellContext`B0 = $CellContext`Br$$; $CellContext`model0 = \
($CellContext`model = 
             1); $CellContext`arr = $CellContext`farr[$CellContext`b - \
$CellContext`d$$, $CellContext`b, $CellContext`L$$, $CellContext`z0, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$, \
$CellContext`model, $CellContext`dt$$]; $CellContext`tmax := 
            Part[$CellContext`arr, 1, -1, 1]; 
           Null]; $CellContext`s = $CellContext`L$$ - Interpolation[
            Part[$CellContext`arr, 1]][$CellContext`time$$]; $CellContext`tL0 = 
          If[$CellContext`z0 <= 0, 
            Interpolation[
             Reverse[
              Part[$CellContext`arr, 1], 2]][0], -0.1]; $CellContext`tL2 = 
          Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 2]][$CellContext`L$$/
            2.]; $CellContext`tL = Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 
             2]][$CellContext`L$$]; $CellContext`a = $CellContext`b - \
$CellContext`d$$; $CellContext`Vm = (
            Pi $CellContext`rm^2) $CellContext`hm; $CellContext`vtint = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k1int[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`vt0 = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k2[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`color1 = {
            RGBColor[1, 0.9, 0.7], 
            RGBColor[0.9, 0.9, 0.9]}; $CellContext`color2 = {
            RGBColor[0.7, 0.4, 0.4], 
            RGBColor[0.5, 0.5, 0.5]}; $CellContext`gr1 = Show[
            Graphics[{
              Thickness[0.0007], 
              RGBColor[0, 0, 0], 
              Arrowheads[0.1], 
              
              Arrow[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ + 
                 Abs[$CellContext`z0] + $CellContext`hm0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], -
                  Abs[$CellContext`z0/2] - $CellContext`hm0}}], 
              Text[
               Subscript[
                Style["z", Italic, 13], 0], {(-0.14) 
                Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}], 
              Text[
               Style[
               "0", 12], {(-0.12) Sqrt[$CellContext`L$$], $CellContext`L$$}], 
              Text[
               Row[{
                 Style["L", Italic], "/2"}], {(-0.12) 
                Sqrt[$CellContext`L$$], $CellContext`L$$/2}], 
              Text[
               Style["L", Italic, 12], {(-0.12) Sqrt[$CellContext`L$$], 0}], 
              Text[
               Style[
               "z", Italic, 13], {(-0.105) 
                Sqrt[$CellContext`L$$], (-$CellContext`L$$)/20 - 
                Abs[$CellContext`z0/3]}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], 0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], 0}}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/2}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}, \
{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}}], 
              Dashed, 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], 0}, {-$CellContext`b, 
                 0}}], 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {-$CellContext`b, $CellContext`L$$/2}}], 
              
              Line[{{(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {-$CellContext`b, \
$CellContext`L$$}}], 
              Part[$CellContext`color1, $CellContext`im$$], 
              Rectangle[{-$CellContext`a, 
                0}, {$CellContext`a, $CellContext`L$$}], 
              Part[$CellContext`color2, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`b, -0.0005}, {-$CellContext`b + \
$CellContext`d$$ + 0.0001, $CellContext`L$$ + 0.0005}], 
              
              Rectangle[{$CellContext`b - $CellContext`d$$, -0.001}, \
{$CellContext`b, $CellContext`L$$ + 0.001}], 
              RGBColor[0.3, 0.5, 0.7], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s - $CellContext`hm/
                2}, {$CellContext`rm, $CellContext`s}], 
              RGBColor[0.7, 0.5, 0.4], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s}, {$CellContext`rm, \
$CellContext`hm/2 + $CellContext`s}]}], 
            PlotRange -> {(-$CellContext`L$$)/10 - Abs[$CellContext`z0], 
              11 ($CellContext`L$$/10) + Abs[$CellContext`z0]}, Frame -> 
            False, ImageSize -> 0.9 {150, 370}]; $CellContext`gr2 = 
          Which[$CellContext`graf$$ == 0, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 1], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.03, 0.}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.03, $CellContext`L$$/2}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.03, $CellContext`L$$}], Gray, 
                Line[{{0, 0}, {5, 0}}], 
                Line[{{0, $CellContext`L$$/2}, {5, $CellContext`L$$/2}}], 
                Line[{{0, $CellContext`L$$}, {5, $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL0, $CellContext`z0}, {$CellContext`tL0, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL2, $CellContext`z0}, {$CellContext`tL2, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL, $CellContext`z0}, {$CellContext`tL, 
                   1.3 $CellContext`L$$}}], Red, 
                PointSize[0.03], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$]}]}, Frame -> 
              True, FrameStyle -> {Black}, AspectRatio -> 1, 
              ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{"Dependence of coordinate on time ", 
                  Style["z", Italic], "(", 
                  Style["t", Italic], ")"}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 1, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 2], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              AxesOrigin -> {0, 0}, Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.015, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.01, 0.05}], Gray, 
                Line[{{$CellContext`tL0, 0}, {$CellContext`tL0, 5}}], 
                Line[{{$CellContext`tL2, 0}, {$CellContext`tL2, 5}}], 
                Line[{{$CellContext`tL, 0}, {$CellContext`tL, 5}}], Red, 
                PointSize[0.025], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, Frame -> 
              True, AspectRatio -> 1, ImageSize -> {330, 330}, LabelStyle -> 
              10], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on time", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 2, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 3], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, Frame -> True, 
              Axes -> False, Epilog -> {
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 14], {
                 0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`L$$/2 - 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`L$$ - 
                  0.01, 0.05}], Gray, Dashed, 
                Line[{{0, 0}, {0, 5}}], 
                Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                PointSize[0.025], 
                Point[{
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$], 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, 
              AspectRatio -> 1, ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on position", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 3, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 4], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Gray, Dashed, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 6]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
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          0.29526482596463793`}, {1.409999999999992, 0.2952647887240362}, {
          1.4149999999999918`, 0.2952647491058619}, {1.4199999999999917`, 
          0.2952647069409602}, {1.4249999999999916`, 0.29526466204698915`}, {
          1.4299999999999915`, 0.29526461422729877`}, {1.4349999999999914`, 
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          0.2952643891858238}, {1.454999999999991, 0.29526432319475077`}, {
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          0.2952641774249611}, {1.4699999999999906`, 0.2952640969418228}, {
          1.4749999999999905`, 0.2952640108744418}, {1.4799999999999904`, 
          0.2952639187928909}, {1.4849999999999903`, 0.29526382023096753`}, {
          1.4899999999999902`, 0.29526371468286666`}, {1.4949999999999901`, 
          0.29526360159952597`}, {1.49999999999999, 0.2952634803846037}, {
          1.50499999999999, 0.2952633503900584}, {1.5099999999999898`, 
          0.29526321091127833`}, {1.5149999999999897`, 
          0.29526306118172035`}, {1.5199999999999896`, 0.2952629003669983}, {
          1.5249999999999895`, 0.2952627275583672}, {1.5299999999999894`, 
          0.29526254176552985`}, {1.5349999999999893`, 
          0.29526234190869655`}, {1.5399999999999892`, 
          0.29526212680981206`}, {1.544999999999989, 0.29526189518285745`}, {
          1.549999999999989, 0.2952616456231214}, {1.5549999999999888`, 
          0.29526137659532603`}, {1.5599999999999887`, 0.2952610864204749}, {
          1.5649999999999886`, 0.2952607732612759}, {1.5699999999999885`, 
          0.2952604351059779}, {1.5749999999999884`, 0.2952600697504313}, {
          1.5799999999999883`, 0.2952596747781702}, {1.5849999999999882`, 
          0.2952592475382792}, {1.589999999999988, 0.29525878512078335`}, {
          1.594999999999988, 0.29525828432926915`}, {1.5999999999999879`, 
          0.2952577416503981}, {1.6049999999999878`, 0.2952571532199471}, {
          1.6099999999999877`, 0.295256514784942}, {1.6149999999999876`, 
          0.295255821661419}, {1.6199999999999875`, 0.295255068687269}, {
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          0.295253359825645}, {1.6349999999999871`, 0.2952523907172944}, {
          1.639999999999987, 0.29525133517694635`}, {1.644999999999987, 
          0.295250184725104}, {1.6499999999999868`, 0.29524892997773616`}, {
          1.6549999999999867`, 0.2952475605424042}, {1.6599999999999866`, 
          0.2952460649016608}, {1.6649999999999865`, 0.2952444302820699}, {
          1.6699999999999864`, 0.29524264250697124`}, {1.6749999999999863`, 
          0.2952406858308557}, {1.6799999999999862`, 0.29523854275292577`}, {
          1.684999999999986, 0.29523619380707417`}, {1.689999999999986, 
          0.2952336173251342}, {1.6949999999999859`, 0.29523078916981027`}, {
          1.6999999999999857`, 0.2952276824331929}, {1.7049999999999856`, 
          0.2952242670961807}, {1.7099999999999855`, 0.29522050964347013`}, {
          1.7149999999999854`, 0.2952163726280029}, {1.7199999999999853`, 
          0.2952118141778836}, {1.7249999999999852`, 0.2952067874377718}, {
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          0.2951951128639609}, {1.739999999999985, 0.29518834026454943`}, {
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          0.29504165691341283`}, {1.7999999999999836`, 
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          0.29093658167570713`}, {1.9299999999999808`, 
          0.29034106836760665`}, {1.9349999999999807`, 0.2896560863968707}, {
          1.9399999999999806`, 0.28886725750041947`}, {1.9449999999999805`, 
          0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
          1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
          0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
          1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
          0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
          1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
          0.27133320006818523`}, {1.9949999999999795`, 
          0.26870588461903755`}, {1.9999999999999793`, 0.2663734686978677}, {
          2.0049999999999795`, 0.26474245670712593`}, {2.0099999999999794`, 
          0.2643407457017548}, {2.0149999999999793`, 0.26571006387409535`}, {
          2.019999999999979, 0.2691609301252263}, {2.024999999999979, 
          0.2744257058130713}, {2.029999999999979, 0.28040919466673464`}, {
          2.034999999999979, 0.2853335787509585}, {2.0399999999999787`, 
          0.28735730655894914`}, {2.0449999999999786`, 0.2852885977626245}, {
          2.0499999999999785`, 0.2788619958964226}, {2.0549999999999784`, 
          0.26846167313121877`}, {2.0599999999999783`, 0.254636726510077}, {
          2.064999999999978, 0.23777316234595222`}, {2.069999999999978, 
          0.21803341330113915`}, {2.074999999999978, 0.19549507748201408`}, {
          2.079999999999978, 0.17038767645030584`}, {2.0849999999999778`, 
          0.14333787957246127`}, {2.0899999999999777`, 
          0.11551982785776609`}, {2.0949999999999775`, 0.08858954968206668}, {
          2.0999999999999774`, 0.06434081131578437}, {2.1049999999999773`, 
          0.04419102304430717}, {2.1099999999999772`, 
          0.028772268753306386`}, {2.114999999999977, 
          0.017865607533154408`}, {2.119999999999977, 
          0.010670313438650268`}, {2.124999999999977, 0.006189493912724943}, {
          2.129999999999977, 0.003520407039602143}}}, $CellContext`farr[
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`z0, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]], 
         Pattern[$CellContext`model, 
          Blank[]], 
         Pattern[$CellContext`dt, 
          Blank[]]] := 
       Block[{$CellContext`zz = $CellContext`z0, $CellContext`t2 = 
          0}, $CellContext`ff = {}; $CellContext`vv = {}; $CellContext`vs = \
{}; $CellContext`ss = {}; $CellContext`kk = {}; $CellContext`kt = {}; \
$CellContext`ft = {}; $CellContext`t2 = 
          0; $CellContext`\[CapitalDelta]t2 = $CellContext`dt; \
$CellContext`v1 = 0; 
         While[$CellContext`zz <= (11/10) $CellContext`L + 
            Abs[$CellContext`z0]/
             2, $CellContext`zz = $CellContext`zz + $CellContext`v1 \
$CellContext`\[CapitalDelta]t2; $CellContext`kdrag = 
            If[$CellContext`model == 1, 
              $CellContext`k2[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im], 
              $CellContext`k1int[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im]]; $CellContext`v2 = $CellContext`v1 + \
$CellContext`g $CellContext`\[CapitalDelta]t2 - \
(($CellContext`kdrag/((($CellContext`\[Rho]m 
                 Pi) $CellContext`rm^2) $CellContext`hm)) $CellContext`v1) \
$CellContext`\[CapitalDelta]t2; 
           AppendTo[$CellContext`ss, {$CellContext`t2, $CellContext`zz}]; 
           AppendTo[$CellContext`vv, {$CellContext`t2, $CellContext`v1}]; 
           AppendTo[$CellContext`vs, {$CellContext`zz, $CellContext`v1}]; 
           AppendTo[$CellContext`kk, {$CellContext`zz, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ff, {$CellContext`zz, $CellContext`kdrag \
$CellContext`v1}]; 
           AppendTo[$CellContext`kt, {$CellContext`t2, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ft, {$CellContext`t2, $CellContext`kdrag \
$CellContext`v1}]; $CellContext`t2 = $CellContext`t2 + $CellContext`\
\[CapitalDelta]t2; $CellContext`v1 = $CellContext`v2]; $CellContext`arr = \
{$CellContext`ss, $CellContext`vv, $CellContext`vs, $CellContext`kk, \
$CellContext`ff, $CellContext`kt, $CellContext`ft}], $CellContext`a = 
       0.0105, $CellContext`ff = CompressedData["
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         0.29526550726312484`}, {0.9800000000000008, 0.29526550488433967`}, {
         0.9850000000000008, 0.2952655025644342}, {0.9900000000000008, 
         0.2952655002985026}, {0.9950000000000008, 0.2952654980817981}, {
         1.0000000000000007`, 0.29526549590971735`}, {1.0050000000000006`, 
         0.2952654937777869}, {1.0100000000000005`, 0.2952654916816497}, {
         1.0150000000000003`, 0.29526548961705223`}, {1.0200000000000002`, 
         0.2952654875798317}, {1.0250000000000001`, 0.29526548556590415`}, {
         1.03, 0.2952654835712527}, {1.035, 0.2952654815919148}, {
         1.0399999999999998`, 0.2952654796239726}, {1.0449999999999997`, 
         0.29526547766354055`}, {1.0499999999999996`, 0.2952654757067538}, {
         1.0549999999999995`, 0.29526547374975926`}, {1.0599999999999994`, 
         0.295265471788702}, {1.0649999999999993`, 0.2952654698197162}, {
         1.0699999999999992`, 0.29526546783891305`}, {1.074999999999999, 
         0.2952654658423707}, {1.079999999999999, 0.2952654638261211}, {
         1.0849999999999989`, 0.29526546178614077`}, {1.0899999999999987`, 
         0.29526545971833784`}, {1.0949999999999986`, 0.29526545761854067`}, {
         1.0999999999999985`, 0.2952654554824843}, {1.1049999999999984`, 
         0.29526545330580084`}, {1.1099999999999983`, 0.29526545108400315`}, {
         1.1149999999999982`, 0.295265448812473}, {1.119999999999998, 
         0.2952654464864473}, {1.124999999999998, 0.29526544410100275`}, {
         1.129999999999998, 0.2952654416510414}, {1.1349999999999978`, 
         0.29526543913127373`}, {1.1399999999999977`, 0.29526543653620296`}, {
         1.1449999999999976`, 0.2952654338601071}, {1.1499999999999975`, 
         0.2952654310970202}, {1.1549999999999974`, 0.2952654282407137}, {
         1.1599999999999973`, 0.2952654252846747}, {1.1649999999999971`, 
         0.2952654222220859}, {1.169999999999997, 0.29526541904580045`}, {
         1.174999999999997, 0.2952654157483194}, {1.1799999999999968`, 
         0.29526541232176495`}, {1.1849999999999967`, 0.29526540875785307`}, {
         1.1899999999999966`, 0.2952654050478644}, {1.1949999999999965`, 
         0.29526540118261235`}, {1.1999999999999964`, 0.295265397152411}, {
         1.2049999999999963`, 0.2952653929470391}, {1.2099999999999962`, 
         0.2952653885557013}, {1.214999999999996, 0.2952653839669896}, {
         1.219999999999996, 0.2952653791688388}, {1.2249999999999959`, 
         0.2952653741484808}, {1.2299999999999958`, 0.2952653688923947}, {
         1.2349999999999957`, 0.2952653633862543}, {1.2399999999999956`, 
         0.29526535761487116`}, {1.2449999999999954`, 0.29526535156213357`}, {
         1.2499999999999953`, 0.29526534521094144`}, {1.2549999999999952`, 
         0.29526533854313597`}, {1.2599999999999951`, 0.2952653315394252}, {
         1.264999999999995, 0.29526532417930074`}, {1.269999999999995, 
         0.2952653164409545}, {1.2749999999999948`, 0.2952653083011822}, {
         1.2799999999999947`, 0.2952652997352835}, {1.2849999999999946`, 
         0.2952652907169543}, {1.2899999999999945`, 0.29526528121816953`}, {
         1.2949999999999944`, 0.29526527120905793`}, {1.2999999999999943`, 
         0.29526526065776587`}, {1.3049999999999942`, 0.2952652495303113}, {
         1.309999999999994, 0.29526523779042696`}, {1.314999999999994, 
         0.2952652253993897}, {1.3199999999999938`, 0.29526521231583586`}, {
         1.3249999999999937`, 0.2952651984955642}, {1.3299999999999936`, 
         0.2952651838913203}, {1.3349999999999935`, 0.29526516845256495`}, {
         1.3399999999999934`, 0.2952651521252226}, {1.3449999999999933`, 
         0.29526513485141037`}, {1.3499999999999932`, 0.2952651165691433}, {
         1.354999999999993, 0.2952650972120165}, {1.359999999999993, 
         0.29526507670885765`}, {1.3649999999999929`, 0.29526505498335526`}, {
         1.3699999999999928`, 0.29526503195365006`}, {1.3749999999999927`, 
         0.2952650075318956}, {1.3799999999999926`, 0.29526498162377873`}, {
         1.3849999999999925`, 0.29526495412799886`}, {1.3899999999999924`, 
         0.29526492493570444`}, {1.3949999999999922`, 0.2952648939298761}, {
         1.3999999999999921`, 0.29526486098465987`}, {1.404999999999992, 
         0.29526482596463793`}, {1.409999999999992, 0.2952647887240362}, {
         1.4149999999999918`, 0.2952647491058619}, {1.4199999999999917`, 
         0.2952647069409602}, {1.4249999999999916`, 0.29526466204698915`}, {
         1.4299999999999915`, 0.29526461422729877`}, {1.4349999999999914`, 
         0.295264563269708}, {1.4399999999999913`, 0.295264508945169}, {
         1.4449999999999912`, 0.2952644510063071}, {1.449999999999991, 
         0.2952643891858238}, {1.454999999999991, 0.29526432319475077`}, {
         1.4599999999999909`, 0.29526425272053847`}, {1.4649999999999908`, 
         0.2952641774249611}, {1.4699999999999906`, 0.2952640969418228}, {
         1.4749999999999905`, 0.2952640108744418}, {1.4799999999999904`, 
         0.2952639187928909}, {1.4849999999999903`, 0.29526382023096753`}, {
         1.4899999999999902`, 0.29526371468286666`}, {1.4949999999999901`, 
         0.29526360159952597`}, {1.49999999999999, 0.2952634803846037}, {
         1.50499999999999, 0.2952633503900584}, {1.5099999999999898`, 
         0.29526321091127833`}, {1.5149999999999897`, 0.29526306118172035`}, {
         1.5199999999999896`, 0.2952629003669983}, {1.5249999999999895`, 
         0.2952627275583672}, {1.5299999999999894`, 0.29526254176552985`}, {
         1.5349999999999893`, 0.29526234190869655`}, {1.5399999999999892`, 
         0.29526212680981206`}, {1.544999999999989, 0.29526189518285745`}, {
         1.549999999999989, 0.2952616456231214}, {1.5549999999999888`, 
         0.29526137659532603`}, {1.5599999999999887`, 0.2952610864204749}, {
         1.5649999999999886`, 0.2952607732612759}, {1.5699999999999885`, 
         0.2952604351059779}, {1.5749999999999884`, 0.2952600697504313}, {
         1.5799999999999883`, 0.2952596747781702}, {1.5849999999999882`, 
         0.2952592475382792}, {1.589999999999988, 0.29525878512078335`}, {
         1.594999999999988, 0.29525828432926915`}, {1.5999999999999879`, 
         0.2952577416503981}, {1.6049999999999878`, 0.2952571532199471}, {
         1.6099999999999877`, 0.295256514784942}, {1.6149999999999876`, 
         0.295255821661419}, {1.6199999999999875`, 0.295255068687269}, {
         1.6249999999999873`, 0.2952542501695592}, {1.6299999999999872`, 
         0.295253359825645}, {1.6349999999999871`, 0.2952523907172944}, {
         1.639999999999987, 0.29525133517694635`}, {1.644999999999987, 
         0.295250184725104}, {1.6499999999999868`, 0.29524892997773616`}, {
         1.6549999999999867`, 0.2952475605424042}, {1.6599999999999866`, 
         0.2952460649016608}, {1.6649999999999865`, 0.2952444302820699}, {
         1.6699999999999864`, 0.29524264250697124`}, {1.6749999999999863`, 
         0.2952406858308557}, {1.6799999999999862`, 0.29523854275292577`}, {
         1.684999999999986, 0.29523619380707417`}, {1.689999999999986, 
         0.2952336173251342}, {1.6949999999999859`, 0.29523078916981027`}, {
         1.6999999999999857`, 0.2952276824331929}, {1.7049999999999856`, 
         0.2952242670961807}, {1.7099999999999855`, 0.29522050964347013`}, {
         1.7149999999999854`, 0.2952163726280029}, {1.7199999999999853`, 
         0.2952118141778836}, {1.7249999999999852`, 0.2952067874377718}, {
         1.729999999999985, 0.29520123993557856`}, {1.734999999999985, 
         0.2951951128639609}, {1.739999999999985, 0.29518834026454943`}, {
         1.7449999999999848`, 0.2951808481010637}, {1.7499999999999847`, 
         0.2951725532053773}, {1.7549999999999846`, 0.29516336207821736`}, {
         1.7599999999999845`, 0.29515316952338194`}, {1.7649999999999844`, 
         0.2951418570911308}, {1.7699999999999843`, 0.2951292913026462}, {
         1.7749999999999841`, 0.2951153216230745}, {1.779999999999984, 
         0.2950997781455361}, {1.784999999999984, 0.295082468942512}, {
         1.7899999999999838`, 0.2950631770339786}, {1.7949999999999837`, 
         0.29504165691341283`}, {1.7999999999999836`, 0.29501763056305574`}, {
         1.8049999999999835`, 0.294990782878303}, {1.8099999999999834`, 
         0.29496075640747405`}, {1.8149999999999833`, 0.29492714529696634`}, {
         1.8199999999999832`, 0.294889488312478}, {1.824999999999983, 
         0.2948472607838107}, {1.829999999999983, 0.29479986529299934`}, {
         1.8349999999999829`, 0.29474662089204173`}, {1.8399999999999828`, 
         0.2946867505961225}, {1.8449999999999827`, 0.2946193668493384}, {
         1.8499999999999825`, 0.29454345460064674`}, {1.8549999999999824`, 
         0.2944578515557703}, {1.8599999999999823`, 0.2943612250833315}, {
         1.8649999999999822`, 0.29425204514733083`}, {1.8699999999999821`, 
         0.294128552509517}, {1.874999999999982, 0.2939887212902456}, {
         1.879999999999982, 0.2938302147910886}, {1.8849999999999818`, 
         0.29365033326355694`}, {1.8899999999999817`, 0.2934459520546904}, {
         1.8949999999999816`, 0.29321344827555945`}, {1.8999999999999815`, 
         0.2929486138355304}, {1.9049999999999814`, 0.2926465523932361}, {
         1.9099999999999813`, 0.2923015575547827}, {1.9149999999999812`, 
         0.2919069696152102}, {1.919999999999981, 0.29145500849865996`}, {
         1.924999999999981, 0.29093658167570713`}, {1.9299999999999808`, 
         0.29034106836760665`}, {1.9349999999999807`, 0.2896560863968707}, {
         1.9399999999999806`, 0.28886725750041947`}, {1.9449999999999805`, 
         0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
         1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
         0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
         1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
         0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
         1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
         0.27133320006818523`}, {1.9949999999999795`, 0.26870588461903755`}, {
         1.9999999999999793`, 0.2663734686978677}, {2.0049999999999795`, 
         0.26474245670712593`}, {2.0099999999999794`, 0.2643407457017548}, {
         2.0149999999999793`, 0.26571006387409535`}, {2.019999999999979, 
         0.2691609301252263}, {2.024999999999979, 0.2744257058130713}, {
         2.029999999999979, 0.28040919466673464`}, {2.034999999999979, 
         0.2853335787509585}, {2.0399999999999787`, 0.28735730655894914`}, {
         2.0449999999999786`, 0.2852885977626245}, {2.0499999999999785`, 
         0.2788619958964226}, {2.0549999999999784`, 0.26846167313121877`}, {
         2.0599999999999783`, 0.254636726510077}, {2.064999999999978, 
         0.23777316234595222`}, {2.069999999999978, 0.21803341330113915`}, {
         2.074999999999978, 0.19549507748201408`}, {2.079999999999978, 
         0.17038767645030584`}, {2.0849999999999778`, 0.14333787957246127`}, {
         2.0899999999999777`, 0.11551982785776609`}, {2.0949999999999775`, 
         0.08858954968206668}, {2.0999999999999774`, 0.06434081131578437}, {
         2.1049999999999773`, 0.04419102304430717}, {2.1099999999999772`, 
         0.028772268753306386`}, {2.114999999999977, 0.017865607533154408`}, {
         2.119999999999977, 0.010670313438650268`}, {2.124999999999977, 
         0.006189493912724943}, {2.129999999999977, 
         0.003520407039602143}}, $CellContext`\[CapitalDelta]t2 = 
       0.005, $CellContext`v1 = 0.6215175440323613, $CellContext`kdrag = 
       0.006142725885016496, $CellContext`k2[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          
          Blank[]]] := (((
           3 $CellContext`Br^2) ((Pi $CellContext`rm^2) $CellContext`hm)^2)/((
          1024 Pi) 
         Part[$CellContext`\[Rho], $CellContext`im])) ((-(((
              8 $CellContext`a^2) ($CellContext`L - \
$CellContext`z))/($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)^3) - \
(2 ($CellContext`L - $CellContext`z))/($CellContext`a^2 + ($CellContext`L - \
$CellContext`z)^2)^2 + (
            5 ($CellContext`L - $CellContext`z))/($CellContext`a^2 \
($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)) + ((
             8 $CellContext`b^2) ($CellContext`L - \
$CellContext`z))/($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)^3 + \
(2 ($CellContext`L - $CellContext`z))/($CellContext`b^2 + ($CellContext`L - \
$CellContext`z)^2)^2 - (
           5 ($CellContext`L - $CellContext`z))/($CellContext`b^2 \
($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)) + (5 
            ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`b])/$CellContext`b^3) + ((-$CellContext`z) ((
              8 $CellContext`a^2)/($CellContext`a^2 + $CellContext`z^2)^3 + 
            2/($CellContext`a^2 + $CellContext`z^2)^2 - 
            5/($CellContext`a^2 ($CellContext`a^2 + $CellContext`z^2)) - (
             8 $CellContext`b^2)/($CellContext`b^2 + $CellContext`z^2)^3 - 
            2/($CellContext`b^2 + $CellContext`z^2)^2 + 
            5/($CellContext`b^2 ($CellContext`b^2 + $CellContext`z^2))) + (5 
            ArcTan[$CellContext`z/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[$CellContext`z/$CellContext`b])/$CellContext`b^3)), \
$CellContext`\[Rho] = {1.7*^-8, 2.8*^-8}, $CellContext`k1int[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]]] := ((2 Pi)/Part[$CellContext`\[Rho], $CellContext`im]) 
        NIntegrate[$CellContext`r $CellContext`Bro1[$CellContext`z - \
$CellContext`zz, $CellContext`r, $CellContext`rm, $CellContext`hm/
             2, $CellContext`Br]^2, {$CellContext`r, $CellContext`a, \
$CellContext`b}, {$CellContext`zz, 0, $CellContext`L}, PrecisionGoal -> 7, 
          WorkingPrecision -> 12, MaxPoints -> 500], $CellContext`Bro1[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`r, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm2, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]]] := ($CellContext`Br ($CellContext`rm/(2 
          Pi))) (((($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2) 
            EllipticE[((
                4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 + $CellContext`z)^2)
             EllipticK[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
          Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2]) - ((($CellContext`rm + $CellContext`r)^2 + \
($CellContext`hm2 - $CellContext`z)^2) 
           EllipticE[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 - $CellContext`z)^2)
            EllipticK[((
              4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
         Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2])), $CellContext`v2 = 0.6215175440323613, $CellContext`g = 
       9.8, $CellContext`\[Rho]m = 7400, $CellContext`tmax := 
       Part[$CellContext`arr, 1, -1, 1], $CellContext`s = 
       0.16999999999999998`, $CellContext`tL0 = 
       0.07353260944444752, $CellContext`tL2 = 
       1.0448289344590722`, $CellContext`tL = 
       2.0323529089865136`, $CellContext`Vm = 
       4.071504079052372*^-6, $CellContext`vtint = 
       8.510448889591245, $CellContext`vt0 = 
       7.249586905829745, $CellContext`color1 = {
         RGBColor[1, 0.9, 0.7], 
         RGBColor[0.9, 0.9, 0.9]}, $CellContext`color2 = {
         RGBColor[0.7, 0.4, 0.4], 
         RGBColor[0.5, 0.5, 0.5]}, $CellContext`hm0 = 0.016, 
       Attributes[Subscript] = {NHoldRest}, 
       Attributes[PlotRange] = {ReadProtected}}; Typeset`initDone$$ = True),
    SynchronousInitialization->False,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellID->1887480914,ExpressionUUID->"5bd9734e-a88d-4985-b512-5bd1200cd338"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`bd$$ = 27., $CellContext`Br$$ = 
    1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
    0.005, $CellContext`graf$$ = 4, $CellContext`Hm$$ = 
    16., $CellContext`im$$ = 1, $CellContext`L$$ = 
    0.15000000000000002`, $CellContext`line$$ = True, $CellContext`Rm$$ = 
    9., $CellContext`time$$ = 0.36, $CellContext`Z0$$ = -2., Typeset`show$$ = 
    True, Typeset`bookmarkList$$ = {
    "\"Coinciding of models\"" :> {$CellContext`L$$ = 0.1, $CellContext`bd$$ = 
       25., $CellContext`d$$ = 1/1000., $CellContext`im$$ = 
       1, $CellContext`Rm$$ = 9., $CellContext`Hm$$ = 14, $CellContext`Br$$ = 
       1, $CellContext`dt$$ = 0.005}, 
     "\"My experiment - Good adreement with model2!\"" :> {$CellContext`L$$ = 
       0.5, $CellContext`bd$$ = 25., $CellContext`d$$ = 
       2./1000, $CellContext`im$$ = 2, $CellContext`Rm$$ = 
       9, $CellContext`Hm$$ = 7.9, $CellContext`Br$$ = 
       0.85, $CellContext`dt$$ = 0.005}}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`L$$], 0.15000000000000002`, 
       Row[{
         Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05}, {{
       Hold[$CellContext`bd$$], 27., 
       Row[{
         Subscript[
          Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5}, {{
       Hold[$CellContext`d$$], 0.002, 
       Row[{"\[CapitalDelta]", " (mm)"}]}, {
      0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
       "3"}}, {{
       Hold[$CellContext`im$$], 1, "metal"}, {1 -> "Cu", 2 -> "Al"}}, {
      Hold[
       Row[{
         Text[
          Style["tube: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Manipulate`Place[1], 
         Spacer[20], 
         Manipulate`Place[2], 
         Spacer[20], 
         Manipulate`Place[3], 
         Spacer[20], 
         Manipulate`Place[4]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Rm$$], 9., 
       Row[{
         Subscript[
          Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1}, {{
       Hold[$CellContext`Hm$$], 16., 
       Row[{
         Subscript[
          Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5}, {{
       Hold[$CellContext`Br$$], 1., 
       Row[{
         Subscript[
          Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1}, {
      Hold[
       Row[{
         Text[
          Style["magnet: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Spacer[20], 
         Manipulate`Place[5], 
         Spacer[20], 
         Manipulate`Place[6], 
         Spacer[20], 
         Manipulate`Place[7]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Z0$$], -2., 
       Row[{"initial position ", 
         Subscript[
          Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1}, {{
       Hold[$CellContext`graf$$], 4, "graphics"}, {0 -> Row[{
          Style["z", Italic], "(", 
          Style["t", Italic], ")"}], 1 -> Row[{
          Style["v", Italic], "(", 
          Style["t", Italic], ")"}], 2 -> Row[{
          Style["v", Italic], "(", 
          Style["z", Italic], ")"}], 3 -> Row[{
          Style["k", Italic], "(", 
          Style["z", Italic], ")"}], 4 -> Row[{
          Style["F", Italic], "(", 
          Style["z", Italic], ")"}]}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[8], 
         Spacer[5], 
         Manipulate`Place[9]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`time$$], 0.36, "time (s)"}, 0, 
      Dynamic[
       Round[($CellContext`L$$ + Abs[$CellContext`z0]) (110/$CellContext`vt0),
         0.01]], 0.02}, {{
       Hold[$CellContext`dt$$], 0.005, 
       Row[{"\[CapitalDelta]", 
         Style["t", Italic], " (ms)"}]}, {
      0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}}, {{
       Hold[$CellContext`line$$], True, "connect"}, {True, False}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[10], 
         Spacer[20], 
         Manipulate`Place[11], 
         Spacer[20], 
         Manipulate`Place[12], Null}]], Manipulate`Dump`ThisIsNotAControl}}, 
    Typeset`size$$ = {593., {204.693115234375, 211.306884765625}}, 
    Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     2, StandardForm, 
      "Variables" :> {$CellContext`bd$$ = 27., $CellContext`Br$$ = 
        1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
        0.005, $CellContext`graf$$ = 4, $CellContext`Hm$$ = 
        16., $CellContext`im$$ = 1, $CellContext`L$$ = 
        0.15000000000000002`, $CellContext`line$$ = True, $CellContext`Rm$$ = 
        9., $CellContext`time$$ = 0.36, $CellContext`Z0$$ = -2.}, 
      "ControllerVariables" :> {}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> Quiet[
        Block[{$CellContext`gr0, $CellContext`gr1, $CellContext`gr2}, If[
           
           Or[$CellContext`bd$$ != $CellContext`bd0, $CellContext`d$$ != \
$CellContext`d0, $CellContext`L$$ != $CellContext`L0, $CellContext`Z0$$ != \
$CellContext`Z00, $CellContext`Rm$$ != $CellContext`Rm0, $CellContext`Hm$$ != \
$CellContext`Hm0, $CellContext`Br$$ != $CellContext`B0, $CellContext`im$$ != \
$CellContext`im0, $CellContext`model != $CellContext`model0, \
$CellContext`dt$$ != $CellContext`dt0], $CellContext`b = ($CellContext`bd$$/
              2)/1000; $CellContext`bd0 = $CellContext`bd$$; $CellContext`d0 = \
$CellContext`d$$; $CellContext`L0 = $CellContext`L$$; $CellContext`im0 = \
$CellContext`im$$; $CellContext`Z00 = $CellContext`Z0$$; $CellContext`z0 = \
$CellContext`Z0$$/
             100; $CellContext`Rm0 = $CellContext`Rm$$; $CellContext`rm = \
$CellContext`Rm$$/
             1000; $CellContext`Hm0 = $CellContext`Hm$$; $CellContext`hm = \
$CellContext`Hm$$/
             1000; $CellContext`B0 = $CellContext`Br$$; $CellContext`model0 = \
($CellContext`model = 
             1); $CellContext`arr = $CellContext`farr[$CellContext`b - \
$CellContext`d$$, $CellContext`b, $CellContext`L$$, $CellContext`z0, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$, \
$CellContext`model, $CellContext`dt$$]; $CellContext`tmax := 
            Part[$CellContext`arr, 1, -1, 1]; 
           Null]; $CellContext`s = $CellContext`L$$ - Interpolation[
            Part[$CellContext`arr, 1]][$CellContext`time$$]; $CellContext`tL0 = 
          If[$CellContext`z0 <= 0, 
            Interpolation[
             Reverse[
              Part[$CellContext`arr, 1], 2]][0], -0.1]; $CellContext`tL2 = 
          Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 2]][$CellContext`L$$/
            2.]; $CellContext`tL = Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 
             2]][$CellContext`L$$]; $CellContext`a = $CellContext`b - \
$CellContext`d$$; $CellContext`Vm = (
            Pi $CellContext`rm^2) $CellContext`hm; $CellContext`vtint = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k1int[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`vt0 = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k2[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`color1 = {
            RGBColor[1, 0.9, 0.7], 
            RGBColor[0.9, 0.9, 0.9]}; $CellContext`color2 = {
            RGBColor[0.7, 0.4, 0.4], 
            RGBColor[0.5, 0.5, 0.5]}; $CellContext`gr1 = Show[
            Graphics[{
              Thickness[0.0007], 
              RGBColor[0, 0, 0], 
              Arrowheads[0.1], 
              
              Arrow[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ + 
                 Abs[$CellContext`z0] + $CellContext`hm0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], -
                  Abs[$CellContext`z0/2] - $CellContext`hm0}}], 
              Text[
               Subscript[
                Style["z", Italic, 13], 0], {(-0.14) 
                Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}], 
              Text[
               Style[
               "0", 12], {(-0.12) Sqrt[$CellContext`L$$], $CellContext`L$$}], 
              Text[
               Row[{
                 Style["L", Italic], "/2"}], {(-0.12) 
                Sqrt[$CellContext`L$$], $CellContext`L$$/2}], 
              Text[
               Style["L", Italic, 12], {(-0.12) Sqrt[$CellContext`L$$], 0}], 
              Text[
               Style[
               "z", Italic, 13], {(-0.105) 
                Sqrt[$CellContext`L$$], (-$CellContext`L$$)/20 - 
                Abs[$CellContext`z0/3]}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], 0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], 0}}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/2}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}, \
{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}}], 
              Dashed, 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], 0}, {-$CellContext`b, 
                 0}}], 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {-$CellContext`b, $CellContext`L$$/2}}], 
              
              Line[{{(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {-$CellContext`b, \
$CellContext`L$$}}], 
              Part[$CellContext`color1, $CellContext`im$$], 
              Rectangle[{-$CellContext`a, 
                0}, {$CellContext`a, $CellContext`L$$}], 
              Part[$CellContext`color2, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`b, -0.0005}, {-$CellContext`b + \
$CellContext`d$$ + 0.0001, $CellContext`L$$ + 0.0005}], 
              
              Rectangle[{$CellContext`b - $CellContext`d$$, -0.001}, \
{$CellContext`b, $CellContext`L$$ + 0.001}], 
              RGBColor[0.3, 0.5, 0.7], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s - $CellContext`hm/
                2}, {$CellContext`rm, $CellContext`s}], 
              RGBColor[0.7, 0.5, 0.4], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s}, {$CellContext`rm, \
$CellContext`hm/2 + $CellContext`s}]}], 
            PlotRange -> {(-$CellContext`L$$)/10 - Abs[$CellContext`z0], 
              11 ($CellContext`L$$/10) + Abs[$CellContext`z0]}, Frame -> 
            False, ImageSize -> 0.9 {150, 370}]; $CellContext`gr2 = 
          Which[$CellContext`graf$$ == 0, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 1], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.03, 0.}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.03, $CellContext`L$$/2}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.03, $CellContext`L$$}], Gray, 
                Line[{{0, 0}, {5, 0}}], 
                Line[{{0, $CellContext`L$$/2}, {5, $CellContext`L$$/2}}], 
                Line[{{0, $CellContext`L$$}, {5, $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL0, $CellContext`z0}, {$CellContext`tL0, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL2, $CellContext`z0}, {$CellContext`tL2, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL, $CellContext`z0}, {$CellContext`tL, 
                   1.3 $CellContext`L$$}}], Red, 
                PointSize[0.03], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$]}]}, Frame -> 
              True, FrameStyle -> {Black}, AspectRatio -> 1, 
              ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{"Dependence of coordinate on time ", 
                  Style["z", Italic], "(", 
                  Style["t", Italic], ")"}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 1, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 2], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              AxesOrigin -> {0, 0}, Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.015, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.01, 0.05}], Gray, 
                Line[{{$CellContext`tL0, 0}, {$CellContext`tL0, 5}}], 
                Line[{{$CellContext`tL2, 0}, {$CellContext`tL2, 5}}], 
                Line[{{$CellContext`tL, 0}, {$CellContext`tL, 5}}], Red, 
                PointSize[0.025], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, Frame -> 
              True, AspectRatio -> 1, ImageSize -> {330, 330}, LabelStyle -> 
              10], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on time", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 2, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 3], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, Frame -> True, 
              Axes -> False, Epilog -> {
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 14], {
                 0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`L$$/2 - 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`L$$ - 
                  0.01, 0.05}], Gray, Dashed, 
                Line[{{0, 0}, {0, 5}}], 
                Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                PointSize[0.025], 
                Point[{
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$], 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, 
              AspectRatio -> 1, ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on position", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 3, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 4], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Gray, Dashed, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 6]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["k", Italic], "  Ns/m"}], Black, 15], 
               Style[
                Row[{"Dependence of drag coefficient on ", 
                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 4, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 5], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Dashed, Gray, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 7]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["F", Italic], "  N"}], Black, 15], 
               Style[
                Row[{"Dependence of drag force on ", 
                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 12]]; 
         Grid[{{$CellContext`gr1, $CellContext`gr2}}]]], 
      "Specifications" :> {{{$CellContext`L$$, 0.15000000000000002`, 
          Row[{
            Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05, ImageSize -> Tiny, 
         ControlPlacement -> 1}, {{$CellContext`bd$$, 27., 
          Row[{
            Subscript[
             Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5, ImageSize -> 
         Tiny, ControlPlacement -> 2}, {{$CellContext`d$$, 0.002, 
          Row[{"\[CapitalDelta]", " (mm)"}]}, {
         0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
          "3"}, ControlType -> Setter, ControlPlacement -> 
         3}, {{$CellContext`im$$, 1, "metal"}, {1 -> "Cu", 2 -> "Al"}, 
         ControlType -> Setter, ControlPlacement -> 4}, 
        Row[{
          Text[
           Style["tube: ", 12, 
            RGBColor[0.4, 0.2, 0.2]]], 
          Manipulate`Place[1], 
          Spacer[20], 
          Manipulate`Place[2], 
          Spacer[20], 
          Manipulate`Place[3], 
          Spacer[20], 
          Manipulate`Place[4]}], {{$CellContext`Rm$$, 9., 
          Row[{
            Subscript[
             Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1, ImageSize -> 
         Tiny, ControlPlacement -> 5}, {{$CellContext`Hm$$, 16., 
          Row[{
            Subscript[
             Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5, ImageSize -> 
         Tiny, ControlPlacement -> 6}, {{$CellContext`Br$$, 1., 
          Row[{
            Subscript[
             Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1, ImageSize -> 
         Tiny, Appearance -> "Labeled", ControlPlacement -> 7}, 
        Row[{
          Text[
           Style["magnet: ", 12, 
            RGBColor[0.4, 0.2, 0.2]]], 
          Spacer[20], 
          Manipulate`Place[5], 
          Spacer[20], 
          Manipulate`Place[6], 
          Spacer[20], 
          Manipulate`Place[7]}], {{$CellContext`Z0$$, -2., 
          Row[{"initial position ", 
            Subscript[
             Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1, ImageSize -> 
         Tiny, Appearance -> "Labeled", ControlPlacement -> 
         8}, {{$CellContext`graf$$, 4, "graphics"}, {0 -> Row[{
             Style["z", Italic], "(", 
             Style["t", Italic], ")"}], 1 -> Row[{
             Style["v", Italic], "(", 
             Style["t", Italic], ")"}], 2 -> Row[{
             Style["v", Italic], "(", 
             Style["z", Italic], ")"}], 3 -> Row[{
             Style["k", Italic], "(", 
             Style["z", Italic], ")"}], 4 -> Row[{
             Style["F", Italic], "(", 
             Style["z", Italic], ")"}]}, ControlType -> Setter, 
         ControlPlacement -> 9}, 
        Row[{
          Spacer[30], 
          Manipulate`Place[8], 
          Spacer[5], 
          Manipulate`Place[9]}], {{$CellContext`time$$, 0.36, "time (s)"}, 0, 
         Dynamic[
          
          Round[($CellContext`L$$ + Abs[$CellContext`z0]) (
            110/$CellContext`vt0), 0.01]], 0.02, Appearance -> "Labeled", 
         ControlPlacement -> 10}, {{$CellContext`dt$$, 0.005, 
          Row[{"\[CapitalDelta]", 
            Style["t", Italic], " (ms)"}]}, {
         0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}, ControlType -> Setter, 
         ControlPlacement -> 11}, {{$CellContext`line$$, True, "connect"}, {
         True, False}, ControlPlacement -> 12}, 
        Row[{
          Spacer[30], 
          Manipulate`Place[10], 
          Spacer[20], 
          Manipulate`Place[11], 
          Spacer[20], 
          Manipulate`Place[12], Null}]}, 
      "Options" :> {
       SynchronousInitialization -> False, SynchronousUpdating -> False, 
        TrackedSymbols :> {$CellContext`bd$$, $CellContext`d$$, \
$CellContext`L$$, $CellContext`Z0$$, $CellContext`Rm$$, $CellContext`Hm$$, \
$CellContext`Br$$, $CellContext`im$$, $CellContext`time$$, \
$CellContext`graf$$, $CellContext`model, $CellContext`line$$, \
$CellContext`dt$$}, ContentSize -> {600, 400}, Alignment -> Center}, 
      "DefaultOptions" :> {ControllerLinking -> True}],
     ImageSizeCache->{766., {330., 337.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
    Initialization:>({$CellContext`bd0 = 24., $CellContext`d0 = 
       0.0015, $CellContext`L0 = 
       0.15, $CellContext`Z00 = -2., $CellContext`Rm0 = 9., $CellContext`Hm0 = 
       16., $CellContext`Br$$ = 1., $CellContext`B0 = 1., $CellContext`im$$ = 
       1, $CellContext`im0 = 1, $CellContext`model = 1, $CellContext`model0 = 
       1, $CellContext`dt$$ = 0.005, $CellContext`dt0 = 0.005, $CellContext`b = 
       0.012, $CellContext`z0 = -0.02, $CellContext`rm = 
       0.009, $CellContext`hm = 
       0.016, $CellContext`arr = {{{0, -0.02}, {0.005, -0.019755}, {
          0.01, -0.019266238967429107`}, {0.015, -0.01853528410729287}, {
          0.02, -0.01756441619273408}, {0.025, -0.016357311980323013`}, {
          0.030000000000000002`, -0.014920366897868931`}, {
          0.035, -0.013265383906986884`}, {0.04, -0.011415104704255845`}, {
          0.045, -0.009414018916628932}, {
          0.049999999999999996`, -0.007345465008294092}, {
          0.05499999999999999, -0.005342286756433732}, {
          0.05999999999999999, -0.0035499908229159154`}, {
          0.06499999999999999, -0.0020387337009608866`}, {
          0.06999999999999999, -0.0007778462560007555}, {0.075, 
          0.0003026967471549517}, {0.08, 0.001263029026536534}, {0.085, 
          0.002141350003900505}, {0.09000000000000001, 
          0.0029575983329447686`}, {0.09500000000000001, 
          0.00372017319860288}, {0.10000000000000002`, 
          0.004432037437888052}, {0.10500000000000002`, 
          0.005095095343541415}, {0.11000000000000003`, 
          0.00571244949385324}, {0.11500000000000003`, 
          0.006288824023646791}, {0.12000000000000004`, 
          0.00682994533745198}, {0.12500000000000003`, 
          0.0073416782194035924`}, {0.13000000000000003`, 
          0.007829380465737296}, {0.13500000000000004`, 
          0.00829759255696069}, {0.14000000000000004`, 
          0.008749988867865911}, {0.14500000000000005`, 
          0.00918947153838394}, {0.15000000000000005`, 
          0.009618314075206772}, {0.15500000000000005`, 
          0.010038302525097593`}, {0.16000000000000006`, 
          0.010450853148886137`}, {0.16500000000000006`, 
          0.010857102885880645`}, {0.17000000000000007`, 
          0.011257976227417664`}, {0.17500000000000007`, 
          0.011654233965641254`}, {0.18000000000000008`, 
          0.012046508802292868`}, {0.18500000000000008`, 
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          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]], 
         Pattern[$CellContext`model, 
          Blank[]], 
         Pattern[$CellContext`dt, 
          Blank[]]] := 
       Block[{$CellContext`zz = $CellContext`z0, $CellContext`t2 = 
          0}, $CellContext`ff = {}; $CellContext`vv = {}; $CellContext`vs = \
{}; $CellContext`ss = {}; $CellContext`kk = {}; $CellContext`kt = {}; \
$CellContext`ft = {}; $CellContext`t2 = 
          0; $CellContext`\[CapitalDelta]t2 = $CellContext`dt; \
$CellContext`v1 = 0; 
         While[$CellContext`zz <= (11/10) $CellContext`L + 
            Abs[$CellContext`z0]/
             2, $CellContext`zz = $CellContext`zz + $CellContext`v1 \
$CellContext`\[CapitalDelta]t2; $CellContext`kdrag = 
            If[$CellContext`model == 1, 
              $CellContext`k2[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im], 
              $CellContext`k1int[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im]]; $CellContext`v2 = $CellContext`v1 + \
$CellContext`g $CellContext`\[CapitalDelta]t2 - \
(($CellContext`kdrag/((($CellContext`\[Rho]m 
                 Pi) $CellContext`rm^2) $CellContext`hm)) $CellContext`v1) \
$CellContext`\[CapitalDelta]t2; 
           AppendTo[$CellContext`ss, {$CellContext`t2, $CellContext`zz}]; 
           AppendTo[$CellContext`vv, {$CellContext`t2, $CellContext`v1}]; 
           AppendTo[$CellContext`vs, {$CellContext`zz, $CellContext`v1}]; 
           AppendTo[$CellContext`kk, {$CellContext`zz, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ff, {$CellContext`zz, $CellContext`kdrag \
$CellContext`v1}]; 
           AppendTo[$CellContext`kt, {$CellContext`t2, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ft, {$CellContext`t2, $CellContext`kdrag \
$CellContext`v1}]; $CellContext`t2 = $CellContext`t2 + $CellContext`\
\[CapitalDelta]t2; $CellContext`v1 = $CellContext`v2]; $CellContext`arr = \
{$CellContext`ss, $CellContext`vv, $CellContext`vs, $CellContext`kk, \
$CellContext`ff, $CellContext`kt, $CellContext`ft}], $CellContext`a = 
       0.0105, $CellContext`ff = CompressedData["
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        "], $CellContext`vv = {{0, 0}, {0.005, 0.049}, {0.01, 
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         0.2951418570911308}, {1.7699999999999843`, 0.2951292913026462}, {
         1.7749999999999841`, 0.2951153216230745}, {1.779999999999984, 
         0.2950997781455361}, {1.784999999999984, 0.295082468942512}, {
         1.7899999999999838`, 0.2950631770339786}, {1.7949999999999837`, 
         0.29504165691341283`}, {1.7999999999999836`, 0.29501763056305574`}, {
         1.8049999999999835`, 0.294990782878303}, {1.8099999999999834`, 
         0.29496075640747405`}, {1.8149999999999833`, 0.29492714529696634`}, {
         1.8199999999999832`, 0.294889488312478}, {1.824999999999983, 
         0.2948472607838107}, {1.829999999999983, 0.29479986529299934`}, {
         1.8349999999999829`, 0.29474662089204173`}, {1.8399999999999828`, 
         0.2946867505961225}, {1.8449999999999827`, 0.2946193668493384}, {
         1.8499999999999825`, 0.29454345460064674`}, {1.8549999999999824`, 
         0.2944578515557703}, {1.8599999999999823`, 0.2943612250833315}, {
         1.8649999999999822`, 0.29425204514733083`}, {1.8699999999999821`, 
         0.294128552509517}, {1.874999999999982, 0.2939887212902456}, {
         1.879999999999982, 0.2938302147910886}, {1.8849999999999818`, 
         0.29365033326355694`}, {1.8899999999999817`, 0.2934459520546904}, {
         1.8949999999999816`, 0.29321344827555945`}, {1.8999999999999815`, 
         0.2929486138355304}, {1.9049999999999814`, 0.2926465523932361}, {
         1.9099999999999813`, 0.2923015575547827}, {1.9149999999999812`, 
         0.2919069696152102}, {1.919999999999981, 0.29145500849865996`}, {
         1.924999999999981, 0.29093658167570713`}, {1.9299999999999808`, 
         0.29034106836760665`}, {1.9349999999999807`, 0.2896560863968707}, {
         1.9399999999999806`, 0.28886725750041947`}, {1.9449999999999805`, 
         0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
         1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
         0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
         1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
         0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
         1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
         0.27133320006818523`}, {1.9949999999999795`, 0.26870588461903755`}, {
         1.9999999999999793`, 0.2663734686978677}, {2.0049999999999795`, 
         0.26474245670712593`}, {2.0099999999999794`, 0.2643407457017548}, {
         2.0149999999999793`, 0.26571006387409535`}, {2.019999999999979, 
         0.2691609301252263}, {2.024999999999979, 0.2744257058130713}, {
         2.029999999999979, 0.28040919466673464`}, {2.034999999999979, 
         0.2853335787509585}, {2.0399999999999787`, 0.28735730655894914`}, {
         2.0449999999999786`, 0.2852885977626245}, {2.0499999999999785`, 
         0.2788619958964226}, {2.0549999999999784`, 0.26846167313121877`}, {
         2.0599999999999783`, 0.254636726510077}, {2.064999999999978, 
         0.23777316234595222`}, {2.069999999999978, 0.21803341330113915`}, {
         2.074999999999978, 0.19549507748201408`}, {2.079999999999978, 
         0.17038767645030584`}, {2.0849999999999778`, 0.14333787957246127`}, {
         2.0899999999999777`, 0.11551982785776609`}, {2.0949999999999775`, 
         0.08858954968206668}, {2.0999999999999774`, 0.06434081131578437}, {
         2.1049999999999773`, 0.04419102304430717}, {2.1099999999999772`, 
         0.028772268753306386`}, {2.114999999999977, 0.017865607533154408`}, {
         2.119999999999977, 0.010670313438650268`}, {2.124999999999977, 
         0.006189493912724943}, {2.129999999999977, 
         0.003520407039602143}}, $CellContext`\[CapitalDelta]t2 = 
       0.005, $CellContext`v1 = 0.6215175440323613, $CellContext`kdrag = 
       0.006142725885016496, $CellContext`k2[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          
          Blank[]]] := (((
           3 $CellContext`Br^2) ((Pi $CellContext`rm^2) $CellContext`hm)^2)/((
          1024 Pi) 
         Part[$CellContext`\[Rho], $CellContext`im])) ((-(((
              8 $CellContext`a^2) ($CellContext`L - \
$CellContext`z))/($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)^3) - \
(2 ($CellContext`L - $CellContext`z))/($CellContext`a^2 + ($CellContext`L - \
$CellContext`z)^2)^2 + (
            5 ($CellContext`L - $CellContext`z))/($CellContext`a^2 \
($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)) + ((
             8 $CellContext`b^2) ($CellContext`L - \
$CellContext`z))/($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)^3 + \
(2 ($CellContext`L - $CellContext`z))/($CellContext`b^2 + ($CellContext`L - \
$CellContext`z)^2)^2 - (
           5 ($CellContext`L - $CellContext`z))/($CellContext`b^2 \
($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)) + (5 
            ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`b])/$CellContext`b^3) + ((-$CellContext`z) ((
              8 $CellContext`a^2)/($CellContext`a^2 + $CellContext`z^2)^3 + 
            2/($CellContext`a^2 + $CellContext`z^2)^2 - 
            5/($CellContext`a^2 ($CellContext`a^2 + $CellContext`z^2)) - (
             8 $CellContext`b^2)/($CellContext`b^2 + $CellContext`z^2)^3 - 
            2/($CellContext`b^2 + $CellContext`z^2)^2 + 
            5/($CellContext`b^2 ($CellContext`b^2 + $CellContext`z^2))) + (5 
            ArcTan[$CellContext`z/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[$CellContext`z/$CellContext`b])/$CellContext`b^3)), \
$CellContext`\[Rho] = {1.7*^-8, 2.8*^-8}, $CellContext`k1int[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]]] := ((2 Pi)/Part[$CellContext`\[Rho], $CellContext`im]) 
        NIntegrate[$CellContext`r $CellContext`Bro1[$CellContext`z - \
$CellContext`zz, $CellContext`r, $CellContext`rm, $CellContext`hm/
             2, $CellContext`Br]^2, {$CellContext`r, $CellContext`a, \
$CellContext`b}, {$CellContext`zz, 0, $CellContext`L}, PrecisionGoal -> 7, 
          WorkingPrecision -> 12, MaxPoints -> 500], $CellContext`Bro1[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`r, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm2, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]]] := ($CellContext`Br ($CellContext`rm/(2 
          Pi))) (((($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2) 
            EllipticE[((
                4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 + $CellContext`z)^2)
             EllipticK[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
          Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2]) - ((($CellContext`rm + $CellContext`r)^2 + \
($CellContext`hm2 - $CellContext`z)^2) 
           EllipticE[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 - $CellContext`z)^2)
            EllipticK[((
              4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
         Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2])), $CellContext`v2 = 0.6215175440323613, $CellContext`g = 
       9.8, $CellContext`\[Rho]m = 7400, $CellContext`tmax := 
       Part[$CellContext`arr, 1, -1, 1], $CellContext`s = 
       0.16999999999999998`, $CellContext`tL0 = 
       0.07353260944444752, $CellContext`tL2 = 
       1.0448289344590722`, $CellContext`tL = 
       2.0323529089865136`, $CellContext`Vm = 
       4.071504079052372*^-6, $CellContext`vtint = 
       8.510448889591245, $CellContext`vt0 = 
       7.249586905829745, $CellContext`color1 = {
         RGBColor[1, 0.9, 0.7], 
         RGBColor[0.9, 0.9, 0.9]}, $CellContext`color2 = {
         RGBColor[0.7, 0.4, 0.4], 
         RGBColor[0.5, 0.5, 0.5]}, $CellContext`hm0 = 0.016, 
       Attributes[Subscript] = {NHoldRest}, 
       Attributes[PlotRange] = {ReadProtected}}; Typeset`initDone$$ = True),
    SynchronousInitialization->False,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellID->263288114,ExpressionUUID->"7895ef3e-558f-4b49-a4c3-ede4b76ad398"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`bd$$ = 25.5, $CellContext`Br$$ = 
    1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
    0.005, $CellContext`graf$$ = 3, $CellContext`Hm$$ = 
    16., $CellContext`im$$ = 1, $CellContext`L$$ = 0.1, $CellContext`line$$ = 
    False, $CellContext`Rm$$ = 9., $CellContext`time$$ = 
    0.16, $CellContext`Z0$$ = -2., Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {
    "\"Coinciding of models\"" :> {$CellContext`L$$ = 0.1, $CellContext`bd$$ = 
       25., $CellContext`d$$ = 1/1000., $CellContext`im$$ = 
       1, $CellContext`Rm$$ = 9., $CellContext`Hm$$ = 14, $CellContext`Br$$ = 
       1, $CellContext`dt$$ = 0.005}, 
     "\"My experiment - Good adreement with model2!\"" :> {$CellContext`L$$ = 
       0.5, $CellContext`bd$$ = 25., $CellContext`d$$ = 
       2./1000, $CellContext`im$$ = 2, $CellContext`Rm$$ = 
       9, $CellContext`Hm$$ = 7.9, $CellContext`Br$$ = 
       0.85, $CellContext`dt$$ = 0.005}}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`L$$], 0.1, 
       Row[{
         Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05}, {{
       Hold[$CellContext`bd$$], 25.5, 
       Row[{
         Subscript[
          Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5}, {{
       Hold[$CellContext`d$$], 0.002, 
       Row[{"\[CapitalDelta]", " (mm)"}]}, {
      0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
       "3"}}, {{
       Hold[$CellContext`im$$], 1, "metal"}, {1 -> "Cu", 2 -> "Al"}}, {
      Hold[
       Row[{
         Text[
          Style["tube: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Manipulate`Place[1], 
         Spacer[20], 
         Manipulate`Place[2], 
         Spacer[20], 
         Manipulate`Place[3], 
         Spacer[20], 
         Manipulate`Place[4]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Rm$$], 9., 
       Row[{
         Subscript[
          Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1}, {{
       Hold[$CellContext`Hm$$], 16., 
       Row[{
         Subscript[
          Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5}, {{
       Hold[$CellContext`Br$$], 1., 
       Row[{
         Subscript[
          Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1}, {
      Hold[
       Row[{
         Text[
          Style["magnet: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Spacer[20], 
         Manipulate`Place[5], 
         Spacer[20], 
         Manipulate`Place[6], 
         Spacer[20], 
         Manipulate`Place[7]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Z0$$], -2., 
       Row[{"initial position ", 
         Subscript[
          Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1}, {{
       Hold[$CellContext`graf$$], 3, "graphics"}, {0 -> Row[{
          Style["z", Italic], "(", 
          Style["t", Italic], ")"}], 1 -> Row[{
          Style["v", Italic], "(", 
          Style["t", Italic], ")"}], 2 -> Row[{
          Style["v", Italic], "(", 
          Style["z", Italic], ")"}], 3 -> Row[{
          Style["k", Italic], "(", 
          Style["z", Italic], ")"}], 4 -> Row[{
          Style["F", Italic], "(", 
          Style["z", Italic], ")"}]}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[8], 
         Spacer[5], 
         Manipulate`Place[9]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`time$$], 0.16, "time (s)"}, 0, 
      Dynamic[
       Round[($CellContext`L$$ + Abs[$CellContext`z0]) (110/$CellContext`vt0),
         0.01]], 0.02}, {{
       Hold[$CellContext`dt$$], 0.005, 
       Row[{"\[CapitalDelta]", 
         Style["t", Italic], " (ms)"}]}, {
      0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}}, {{
       Hold[$CellContext`line$$], False, "connect"}, {True, False}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[10], 
         Spacer[20], 
         Manipulate`Place[11], 
         Spacer[20], 
         Manipulate`Place[12], Null}]], Manipulate`Dump`ThisIsNotAControl}}, 
    Typeset`size$$ = {593., {204.693115234375, 211.306884765625}}, 
    Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     2, StandardForm, 
      "Variables" :> {$CellContext`bd$$ = 25.5, $CellContext`Br$$ = 
        1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
        0.005, $CellContext`graf$$ = 3, $CellContext`Hm$$ = 
        16., $CellContext`im$$ = 1, $CellContext`L$$ = 
        0.1, $CellContext`line$$ = False, $CellContext`Rm$$ = 
        9., $CellContext`time$$ = 0.16, $CellContext`Z0$$ = -2.}, 
      "ControllerVariables" :> {}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> Quiet[
        Block[{$CellContext`gr0, $CellContext`gr1, $CellContext`gr2}, If[
           
           Or[$CellContext`bd$$ != $CellContext`bd0, $CellContext`d$$ != \
$CellContext`d0, $CellContext`L$$ != $CellContext`L0, $CellContext`Z0$$ != \
$CellContext`Z00, $CellContext`Rm$$ != $CellContext`Rm0, $CellContext`Hm$$ != \
$CellContext`Hm0, $CellContext`Br$$ != $CellContext`B0, $CellContext`im$$ != \
$CellContext`im0, $CellContext`model != $CellContext`model0, \
$CellContext`dt$$ != $CellContext`dt0], $CellContext`b = ($CellContext`bd$$/
              2)/1000; $CellContext`bd0 = $CellContext`bd$$; $CellContext`d0 = \
$CellContext`d$$; $CellContext`L0 = $CellContext`L$$; $CellContext`im0 = \
$CellContext`im$$; $CellContext`Z00 = $CellContext`Z0$$; $CellContext`z0 = \
$CellContext`Z0$$/
             
             100; $CellContext`Rm0 = $CellContext`Rm$$; $CellContext`rm = \
$CellContext`Rm$$/
             1000; $CellContext`Hm0 = $CellContext`Hm$$; $CellContext`hm = \
$CellContext`Hm$$/
             1000; $CellContext`B0 = $CellContext`Br$$; $CellContext`model0 = \
($CellContext`model = 
             1); $CellContext`arr = $CellContext`farr[$CellContext`b - \
$CellContext`d$$, $CellContext`b, $CellContext`L$$, $CellContext`z0, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$, \
$CellContext`model, $CellContext`dt$$]; $CellContext`tmax := 
            Part[$CellContext`arr, 1, -1, 1]; 
           Null]; $CellContext`s = $CellContext`L$$ - Interpolation[
            Part[$CellContext`arr, 1]][$CellContext`time$$]; $CellContext`tL0 = 
          If[$CellContext`z0 <= 0, 
            Interpolation[
             Reverse[
              Part[$CellContext`arr, 1], 2]][0], -0.1]; $CellContext`tL2 = 
          Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 2]][$CellContext`L$$/
            2.]; $CellContext`tL = Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 
             2]][$CellContext`L$$]; $CellContext`a = $CellContext`b - \
$CellContext`d$$; $CellContext`Vm = (
            Pi $CellContext`rm^2) $CellContext`hm; $CellContext`vtint = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k1int[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`vt0 = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k2[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`color1 = {
            RGBColor[1, 0.9, 0.7], 
            RGBColor[0.9, 0.9, 0.9]}; $CellContext`color2 = {
            RGBColor[0.7, 0.4, 0.4], 
            RGBColor[0.5, 0.5, 0.5]}; $CellContext`gr1 = Show[
            Graphics[{
              Thickness[0.0007], 
              RGBColor[0, 0, 0], 
              Arrowheads[0.1], 
              
              Arrow[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ + 
                 Abs[$CellContext`z0] + $CellContext`hm0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], -
                  Abs[$CellContext`z0/2] - $CellContext`hm0}}], 
              Text[
               Subscript[
                Style["z", Italic, 13], 0], {(-0.14) 
                Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}], 
              Text[
               Style[
               "0", 12], {(-0.12) Sqrt[$CellContext`L$$], $CellContext`L$$}], 
              Text[
               Row[{
                 Style["L", Italic], "/2"}], {(-0.12) 
                Sqrt[$CellContext`L$$], $CellContext`L$$/2}], 
              Text[
               Style["L", Italic, 12], {(-0.12) Sqrt[$CellContext`L$$], 0}], 
              Text[
               Style[
               "z", Italic, 13], {(-0.105) 
                Sqrt[$CellContext`L$$], (-$CellContext`L$$)/20 - 
                Abs[$CellContext`z0/3]}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], 0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], 0}}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/2}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}, \
{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}}], 
              Dashed, 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], 0}, {-$CellContext`b, 
                 0}}], 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {-$CellContext`b, $CellContext`L$$/2}}], 
              
              Line[{{(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {-$CellContext`b, \
$CellContext`L$$}}], 
              Part[$CellContext`color1, $CellContext`im$$], 
              Rectangle[{-$CellContext`a, 
                0}, {$CellContext`a, $CellContext`L$$}], 
              Part[$CellContext`color2, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`b, -0.0005}, {-$CellContext`b + \
$CellContext`d$$ + 0.0001, $CellContext`L$$ + 0.0005}], 
              
              Rectangle[{$CellContext`b - $CellContext`d$$, -0.001}, \
{$CellContext`b, $CellContext`L$$ + 0.001}], 
              RGBColor[0.3, 0.5, 0.7], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s - $CellContext`hm/
                2}, {$CellContext`rm, $CellContext`s}], 
              RGBColor[0.7, 0.5, 0.4], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s}, {$CellContext`rm, \
$CellContext`hm/2 + $CellContext`s}]}], 
            PlotRange -> {(-$CellContext`L$$)/10 - Abs[$CellContext`z0], 
              11 ($CellContext`L$$/10) + Abs[$CellContext`z0]}, Frame -> 
            False, ImageSize -> 0.9 {150, 370}]; $CellContext`gr2 = 
          Which[$CellContext`graf$$ == 0, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 1], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.03, 0.}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.03, $CellContext`L$$/2}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
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                Line[{{0, 0}, {5, 0}}], 
                Line[{{0, $CellContext`L$$/2}, {5, $CellContext`L$$/2}}], 
                Line[{{0, $CellContext`L$$}, {5, $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL0, $CellContext`z0}, {$CellContext`tL0, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL2, $CellContext`z0}, {$CellContext`tL2, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL, $CellContext`z0}, {$CellContext`tL, 
                   1.3 $CellContext`L$$}}], Red, 
                PointSize[0.03], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$]}]}, Frame -> 
              True, FrameStyle -> {Black}, AspectRatio -> 1, 
              ImageSize -> {330, 330}], FrameLabel -> {
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                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{"Dependence of coordinate on time ", 
                  Style["z", Italic], "(", 
                  Style["t", Italic], ")"}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 1, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 2], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              AxesOrigin -> {0, 0}, Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
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                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.015, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.01, 0.05}], Gray, 
                Line[{{$CellContext`tL0, 0}, {$CellContext`tL0, 5}}], 
                Line[{{$CellContext`tL2, 0}, {$CellContext`tL2, 5}}], 
                Line[{{$CellContext`tL, 0}, {$CellContext`tL, 5}}], Red, 
                PointSize[0.025], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, Frame -> 
              True, AspectRatio -> 1, ImageSize -> {330, 330}, LabelStyle -> 
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                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on time", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 2, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 3], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, Frame -> True, 
              Axes -> False, Epilog -> {
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                Text[
                 Row[{
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                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`L$$/2 - 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`L$$ - 
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                Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                PointSize[0.025], 
                Point[{
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                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, 
              AspectRatio -> 1, ImageSize -> {330, 330}], FrameLabel -> {
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                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on position", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 3, 
            Show[{
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                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Gray, Dashed, 
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                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
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                 Point[{
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                   Interpolation[
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                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
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               Style[
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                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 4, 
            Show[{
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                 Thickness[0.015]}, InterpolationOrder -> 2, 
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                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
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                 Point[{
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                   Interpolation[
                    Part[$CellContext`arr, 7]][$CellContext`time$$]}]}, Frame -> 
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               Style[
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               Style[
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                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 12]]; 
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        Row[{
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        Row[{
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          Manipulate`Place[5], 
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             Style["z", Italic], ")"}], 4 -> Row[{
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             Style["z", Italic], ")"}]}, ControlType -> Setter, 
         ControlPlacement -> 9}, 
        Row[{
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          Round[($CellContext`L$$ + Abs[$CellContext`z0]) (
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         ControlPlacement -> 10}, {{$CellContext`dt$$, 0.005, 
          Row[{"\[CapitalDelta]", 
            Style["t", Italic], " (ms)"}]}, {
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         ControlPlacement -> 11}, {{$CellContext`line$$, False, "connect"}, {
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        Row[{
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          Spacer[20], 
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          Spacer[20], 
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      "Options" :> {
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        TrackedSymbols :> {$CellContext`bd$$, $CellContext`d$$, \
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$CellContext`Br$$, $CellContext`im$$, $CellContext`time$$, \
$CellContext`graf$$, $CellContext`model, $CellContext`line$$, \
$CellContext`dt$$}, ContentSize -> {600, 400}, Alignment -> Center}, 
      "DefaultOptions" :> {ControllerLinking -> True}],
     ImageSizeCache->{766., {330., 337.}},
     SingleEvaluation->True],
    Deinitialization:>None,
    DynamicModuleValues:>{},
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          0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
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          0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
          1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
          0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
          1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
          0.27133320006818523`}, {1.9949999999999795`, 
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          0.28735730655894914`}, {2.0449999999999786`, 0.2852885977626245}, {
          2.0499999999999785`, 0.2788619958964226}, {2.0549999999999784`, 
          0.26846167313121877`}, {2.0599999999999783`, 0.254636726510077}, {
          2.064999999999978, 0.23777316234595222`}, {2.069999999999978, 
          0.21803341330113915`}, {2.074999999999978, 0.19549507748201408`}, {
          2.079999999999978, 0.17038767645030584`}, {2.0849999999999778`, 
          0.14333787957246127`}, {2.0899999999999777`, 
          0.11551982785776609`}, {2.0949999999999775`, 0.08858954968206668}, {
          2.0999999999999774`, 0.06434081131578437}, {2.1049999999999773`, 
          0.04419102304430717}, {2.1099999999999772`, 
          0.028772268753306386`}, {2.114999999999977, 
          0.017865607533154408`}, {2.119999999999977, 
          0.010670313438650268`}, {2.124999999999977, 0.006189493912724943}, {
          2.129999999999977, 0.003520407039602143}}}, $CellContext`farr[
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`z0, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]], 
         Pattern[$CellContext`model, 
          Blank[]], 
         Pattern[$CellContext`dt, 
          Blank[]]] := 
       Block[{$CellContext`zz = $CellContext`z0, $CellContext`t2 = 
          0}, $CellContext`ff = {}; $CellContext`vv = {}; $CellContext`vs = \
{}; $CellContext`ss = {}; $CellContext`kk = {}; $CellContext`kt = {}; \
$CellContext`ft = {}; $CellContext`t2 = 
          0; $CellContext`\[CapitalDelta]t2 = $CellContext`dt; \
$CellContext`v1 = 0; 
         While[$CellContext`zz <= (11/10) $CellContext`L + 
            Abs[$CellContext`z0]/
             2, $CellContext`zz = $CellContext`zz + $CellContext`v1 \
$CellContext`\[CapitalDelta]t2; $CellContext`kdrag = 
            If[$CellContext`model == 1, 
              $CellContext`k2[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im], 
              $CellContext`k1int[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im]]; $CellContext`v2 = $CellContext`v1 + \
$CellContext`g $CellContext`\[CapitalDelta]t2 - \
(($CellContext`kdrag/((($CellContext`\[Rho]m 
                 Pi) $CellContext`rm^2) $CellContext`hm)) $CellContext`v1) \
$CellContext`\[CapitalDelta]t2; 
           AppendTo[$CellContext`ss, {$CellContext`t2, $CellContext`zz}]; 
           AppendTo[$CellContext`vv, {$CellContext`t2, $CellContext`v1}]; 
           AppendTo[$CellContext`vs, {$CellContext`zz, $CellContext`v1}]; 
           AppendTo[$CellContext`kk, {$CellContext`zz, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ff, {$CellContext`zz, $CellContext`kdrag \
$CellContext`v1}]; 
           AppendTo[$CellContext`kt, {$CellContext`t2, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ft, {$CellContext`t2, $CellContext`kdrag \
$CellContext`v1}]; $CellContext`t2 = $CellContext`t2 + $CellContext`\
\[CapitalDelta]t2; $CellContext`v1 = $CellContext`v2]; $CellContext`arr = \
{$CellContext`ss, $CellContext`vv, $CellContext`vs, $CellContext`kk, \
$CellContext`ff, $CellContext`kt, $CellContext`ft}], $CellContext`a = 
       0.0105, $CellContext`ff = CompressedData["
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         0.29526983371047283`}, {0.5450000000000004, 0.2952695458011301}, {
         0.5500000000000004, 0.2952692788625901}, {0.5550000000000004, 
         0.2952690312304767}, {0.5600000000000004, 0.29526880138285755`}, {
         0.5650000000000004, 0.2952685879272075}, {0.5700000000000004, 
         0.2952683895886383}, {0.5750000000000004, 0.2952682051992645}, {
         0.5800000000000004, 0.2952680336885923}, {0.5850000000000004, 
         0.29526787407482363`}, {0.5900000000000004, 0.2952677254569878}, {
         0.5950000000000004, 0.29526758700781297`}, {0.6000000000000004, 
         0.2952674579672684}, {0.6050000000000004, 0.29526733763670643`}, {
         0.6100000000000004, 0.295267225373549}, {0.6150000000000004, 
         0.2952671205864633}, {0.6200000000000004, 0.2952670227309787}, {
         0.6250000000000004, 0.2952669313055028}, {0.6300000000000004, 
         0.2952668458476998}, {0.6350000000000005, 0.2952667659311915}, {
         0.6400000000000005, 0.295266691162557}, {0.6450000000000005, 
         0.2952666211785966}, {0.6500000000000005, 0.2952665556438394}, {
         0.6550000000000005, 0.295266494248269}, {0.6600000000000005, 
         0.2952664367052484}, {0.6650000000000005, 0.29526638274962624`}, {
         0.6700000000000005, 0.2952663321360035}, {0.6750000000000005, 
         0.29526628463715415`}, {0.6800000000000005, 0.29526624004257535`}, {
         0.6850000000000005, 0.2952661981571658}, {0.6900000000000005, 
         0.2952661588000119}, {0.6950000000000005, 0.2952661218032773}, {
         0.7000000000000005, 0.295266087011186}, {0.7050000000000005, 
         0.29526605427908936`}, {0.7100000000000005, 0.29526602347260844`}, {
         0.7150000000000005, 0.29526599446685026`}, {0.7200000000000005, 
         0.2952659671456846}, {0.7250000000000005, 0.2952659414010823}, {
         0.7300000000000005, 0.29526591713250416`}, {0.7350000000000005, 
         0.2952658942463425}, {0.7400000000000005, 0.29526587265540416`}, {
         0.7450000000000006, 0.29526585227843544`}, {0.7500000000000006, 
         0.29526583303968607`}, {0.7550000000000006, 0.2952658148685056}, {
         0.7600000000000006, 0.29526579769897143`}, {0.7650000000000006, 
         0.29526578146954824`}, {0.7700000000000006, 0.2952657661227692}, {
         0.7750000000000006, 0.2952657516049466}, {0.7800000000000006, 
         0.2952657378659003}, {0.7850000000000006, 0.29526572485871116`}, {
         0.7900000000000006, 0.29526571253948863`}, {0.7950000000000006, 
         0.2952657008671591}, {0.8000000000000006, 0.2952656898032681}, {
         0.8050000000000006, 0.29526567931179976`}, {0.8100000000000006, 
         0.29526566935900533`}, {0.8150000000000006, 0.2952656599132491}, {
         0.8200000000000006, 0.29526565094486273`}, {0.8250000000000006, 
         0.2952656424260099}, {0.8300000000000006, 0.2952656343305628}, {
         0.8350000000000006, 0.2952656266339859}, {0.8400000000000006, 
         0.2952656193132285}, {0.8450000000000006, 0.29526561234662463`}, {
         0.8500000000000006, 0.2952656057138006}, {0.8550000000000006, 
         0.29526559939558933`}, {0.8600000000000007, 0.29526559337394803`}, {
         0.8650000000000007, 0.2952655876318855}, {0.8700000000000007, 
         0.2952655821533918}, {0.8750000000000007, 0.2952655769233736}, {
         0.8800000000000007, 0.29526557192759323`}, {0.8850000000000007, 
         0.29526556715261293`}, {0.8900000000000007, 0.29526556258574227`}, {
         0.8950000000000007, 0.2952655582149883}, {0.9000000000000007, 
         0.2952655540290102}, {0.9050000000000007, 0.295265550017077}, {
         0.9100000000000007, 0.2952655461690257}, {0.9150000000000007, 
         0.29526554247522585`}, {0.9200000000000007, 0.29526553892654245`}, {
         0.9250000000000007, 0.29526553551430434`}, {0.9300000000000007, 
         0.2952655322302722}, {0.9350000000000007, 0.29526552906661035`}, {
         0.9400000000000007, 0.29526552601585826`}, {0.9450000000000007, 
         0.29526552307090664`}, {0.9500000000000007, 0.2952655202249709}, {
         0.9550000000000007, 0.29526551747157026`}, {0.9600000000000007, 
         0.295265514804505}, {0.9650000000000007, 0.2952655122178366}, {
         0.9700000000000008, 0.29526550970586757`}, {0.9750000000000008, 
         0.29526550726312484`}, {0.9800000000000008, 0.29526550488433967`}, {
         0.9850000000000008, 0.2952655025644342}, {0.9900000000000008, 
         0.2952655002985026}, {0.9950000000000008, 0.2952654980817981}, {
         1.0000000000000007`, 0.29526549590971735`}, {1.0050000000000006`, 
         0.2952654937777869}, {1.0100000000000005`, 0.2952654916816497}, {
         1.0150000000000003`, 0.29526548961705223`}, {1.0200000000000002`, 
         0.2952654875798317}, {1.0250000000000001`, 0.29526548556590415`}, {
         1.03, 0.2952654835712527}, {1.035, 0.2952654815919148}, {
         1.0399999999999998`, 0.2952654796239726}, {1.0449999999999997`, 
         0.29526547766354055`}, {1.0499999999999996`, 0.2952654757067538}, {
         1.0549999999999995`, 0.29526547374975926`}, {1.0599999999999994`, 
         0.295265471788702}, {1.0649999999999993`, 0.2952654698197162}, {
         1.0699999999999992`, 0.29526546783891305`}, {1.074999999999999, 
         0.2952654658423707}, {1.079999999999999, 0.2952654638261211}, {
         1.0849999999999989`, 0.29526546178614077`}, {1.0899999999999987`, 
         0.29526545971833784`}, {1.0949999999999986`, 0.29526545761854067`}, {
         1.0999999999999985`, 0.2952654554824843}, {1.1049999999999984`, 
         0.29526545330580084`}, {1.1099999999999983`, 0.29526545108400315`}, {
         1.1149999999999982`, 0.295265448812473}, {1.119999999999998, 
         0.2952654464864473}, {1.124999999999998, 0.29526544410100275`}, {
         1.129999999999998, 0.2952654416510414}, {1.1349999999999978`, 
         0.29526543913127373`}, {1.1399999999999977`, 0.29526543653620296`}, {
         1.1449999999999976`, 0.2952654338601071}, {1.1499999999999975`, 
         0.2952654310970202}, {1.1549999999999974`, 0.2952654282407137}, {
         1.1599999999999973`, 0.2952654252846747}, {1.1649999999999971`, 
         0.2952654222220859}, {1.169999999999997, 0.29526541904580045`}, {
         1.174999999999997, 0.2952654157483194}, {1.1799999999999968`, 
         0.29526541232176495`}, {1.1849999999999967`, 0.29526540875785307`}, {
         1.1899999999999966`, 0.2952654050478644}, {1.1949999999999965`, 
         0.29526540118261235`}, {1.1999999999999964`, 0.295265397152411}, {
         1.2049999999999963`, 0.2952653929470391}, {1.2099999999999962`, 
         0.2952653885557013}, {1.214999999999996, 0.2952653839669896}, {
         1.219999999999996, 0.2952653791688388}, {1.2249999999999959`, 
         0.2952653741484808}, {1.2299999999999958`, 0.2952653688923947}, {
         1.2349999999999957`, 0.2952653633862543}, {1.2399999999999956`, 
         0.29526535761487116`}, {1.2449999999999954`, 0.29526535156213357`}, {
         1.2499999999999953`, 0.29526534521094144`}, {1.2549999999999952`, 
         0.29526533854313597`}, {1.2599999999999951`, 0.2952653315394252}, {
         1.264999999999995, 0.29526532417930074`}, {1.269999999999995, 
         0.2952653164409545}, {1.2749999999999948`, 0.2952653083011822}, {
         1.2799999999999947`, 0.2952652997352835}, {1.2849999999999946`, 
         0.2952652907169543}, {1.2899999999999945`, 0.29526528121816953`}, {
         1.2949999999999944`, 0.29526527120905793`}, {1.2999999999999943`, 
         0.29526526065776587`}, {1.3049999999999942`, 0.2952652495303113}, {
         1.309999999999994, 0.29526523779042696`}, {1.314999999999994, 
         0.2952652253993897}, {1.3199999999999938`, 0.29526521231583586`}, {
         1.3249999999999937`, 0.2952651984955642}, {1.3299999999999936`, 
         0.2952651838913203}, {1.3349999999999935`, 0.29526516845256495`}, {
         1.3399999999999934`, 0.2952651521252226}, {1.3449999999999933`, 
         0.29526513485141037`}, {1.3499999999999932`, 0.2952651165691433}, {
         1.354999999999993, 0.2952650972120165}, {1.359999999999993, 
         0.29526507670885765`}, {1.3649999999999929`, 0.29526505498335526`}, {
         1.3699999999999928`, 0.29526503195365006`}, {1.3749999999999927`, 
         0.2952650075318956}, {1.3799999999999926`, 0.29526498162377873`}, {
         1.3849999999999925`, 0.29526495412799886`}, {1.3899999999999924`, 
         0.29526492493570444`}, {1.3949999999999922`, 0.2952648939298761}, {
         1.3999999999999921`, 0.29526486098465987`}, {1.404999999999992, 
         0.29526482596463793`}, {1.409999999999992, 0.2952647887240362}, {
         1.4149999999999918`, 0.2952647491058619}, {1.4199999999999917`, 
         0.2952647069409602}, {1.4249999999999916`, 0.29526466204698915`}, {
         1.4299999999999915`, 0.29526461422729877`}, {1.4349999999999914`, 
         0.295264563269708}, {1.4399999999999913`, 0.295264508945169}, {
         1.4449999999999912`, 0.2952644510063071}, {1.449999999999991, 
         0.2952643891858238}, {1.454999999999991, 0.29526432319475077`}, {
         1.4599999999999909`, 0.29526425272053847`}, {1.4649999999999908`, 
         0.2952641774249611}, {1.4699999999999906`, 0.2952640969418228}, {
         1.4749999999999905`, 0.2952640108744418}, {1.4799999999999904`, 
         0.2952639187928909}, {1.4849999999999903`, 0.29526382023096753`}, {
         1.4899999999999902`, 0.29526371468286666`}, {1.4949999999999901`, 
         0.29526360159952597`}, {1.49999999999999, 0.2952634803846037}, {
         1.50499999999999, 0.2952633503900584}, {1.5099999999999898`, 
         0.29526321091127833`}, {1.5149999999999897`, 0.29526306118172035`}, {
         1.5199999999999896`, 0.2952629003669983}, {1.5249999999999895`, 
         0.2952627275583672}, {1.5299999999999894`, 0.29526254176552985`}, {
         1.5349999999999893`, 0.29526234190869655`}, {1.5399999999999892`, 
         0.29526212680981206`}, {1.544999999999989, 0.29526189518285745`}, {
         1.549999999999989, 0.2952616456231214}, {1.5549999999999888`, 
         0.29526137659532603`}, {1.5599999999999887`, 0.2952610864204749}, {
         1.5649999999999886`, 0.2952607732612759}, {1.5699999999999885`, 
         0.2952604351059779}, {1.5749999999999884`, 0.2952600697504313}, {
         1.5799999999999883`, 0.2952596747781702}, {1.5849999999999882`, 
         0.2952592475382792}, {1.589999999999988, 0.29525878512078335`}, {
         1.594999999999988, 0.29525828432926915`}, {1.5999999999999879`, 
         0.2952577416503981}, {1.6049999999999878`, 0.2952571532199471}, {
         1.6099999999999877`, 0.295256514784942}, {1.6149999999999876`, 
         0.295255821661419}, {1.6199999999999875`, 0.295255068687269}, {
         1.6249999999999873`, 0.2952542501695592}, {1.6299999999999872`, 
         0.295253359825645}, {1.6349999999999871`, 0.2952523907172944}, {
         1.639999999999987, 0.29525133517694635`}, {1.644999999999987, 
         0.295250184725104}, {1.6499999999999868`, 0.29524892997773616`}, {
         1.6549999999999867`, 0.2952475605424042}, {1.6599999999999866`, 
         0.2952460649016608}, {1.6649999999999865`, 0.2952444302820699}, {
         1.6699999999999864`, 0.29524264250697124`}, {1.6749999999999863`, 
         0.2952406858308557}, {1.6799999999999862`, 0.29523854275292577`}, {
         1.684999999999986, 0.29523619380707417`}, {1.689999999999986, 
         0.2952336173251342}, {1.6949999999999859`, 0.29523078916981027`}, {
         1.6999999999999857`, 0.2952276824331929}, {1.7049999999999856`, 
         0.2952242670961807}, {1.7099999999999855`, 0.29522050964347013`}, {
         1.7149999999999854`, 0.2952163726280029}, {1.7199999999999853`, 
         0.2952118141778836}, {1.7249999999999852`, 0.2952067874377718}, {
         1.729999999999985, 0.29520123993557856`}, {1.734999999999985, 
         0.2951951128639609}, {1.739999999999985, 0.29518834026454943`}, {
         1.7449999999999848`, 0.2951808481010637}, {1.7499999999999847`, 
         0.2951725532053773}, {1.7549999999999846`, 0.29516336207821736`}, {
         1.7599999999999845`, 0.29515316952338194`}, {1.7649999999999844`, 
         0.2951418570911308}, {1.7699999999999843`, 0.2951292913026462}, {
         1.7749999999999841`, 0.2951153216230745}, {1.779999999999984, 
         0.2950997781455361}, {1.784999999999984, 0.295082468942512}, {
         1.7899999999999838`, 0.2950631770339786}, {1.7949999999999837`, 
         0.29504165691341283`}, {1.7999999999999836`, 0.29501763056305574`}, {
         1.8049999999999835`, 0.294990782878303}, {1.8099999999999834`, 
         0.29496075640747405`}, {1.8149999999999833`, 0.29492714529696634`}, {
         1.8199999999999832`, 0.294889488312478}, {1.824999999999983, 
         0.2948472607838107}, {1.829999999999983, 0.29479986529299934`}, {
         1.8349999999999829`, 0.29474662089204173`}, {1.8399999999999828`, 
         0.2946867505961225}, {1.8449999999999827`, 0.2946193668493384}, {
         1.8499999999999825`, 0.29454345460064674`}, {1.8549999999999824`, 
         0.2944578515557703}, {1.8599999999999823`, 0.2943612250833315}, {
         1.8649999999999822`, 0.29425204514733083`}, {1.8699999999999821`, 
         0.294128552509517}, {1.874999999999982, 0.2939887212902456}, {
         1.879999999999982, 0.2938302147910886}, {1.8849999999999818`, 
         0.29365033326355694`}, {1.8899999999999817`, 0.2934459520546904}, {
         1.8949999999999816`, 0.29321344827555945`}, {1.8999999999999815`, 
         0.2929486138355304}, {1.9049999999999814`, 0.2926465523932361}, {
         1.9099999999999813`, 0.2923015575547827}, {1.9149999999999812`, 
         0.2919069696152102}, {1.919999999999981, 0.29145500849865996`}, {
         1.924999999999981, 0.29093658167570713`}, {1.9299999999999808`, 
         0.29034106836760665`}, {1.9349999999999807`, 0.2896560863968707}, {
         1.9399999999999806`, 0.28886725750041947`}, {1.9449999999999805`, 
         0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
         1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
         0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
         1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
         0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
         1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
         0.27133320006818523`}, {1.9949999999999795`, 0.26870588461903755`}, {
         1.9999999999999793`, 0.2663734686978677}, {2.0049999999999795`, 
         0.26474245670712593`}, {2.0099999999999794`, 0.2643407457017548}, {
         2.0149999999999793`, 0.26571006387409535`}, {2.019999999999979, 
         0.2691609301252263}, {2.024999999999979, 0.2744257058130713}, {
         2.029999999999979, 0.28040919466673464`}, {2.034999999999979, 
         0.2853335787509585}, {2.0399999999999787`, 0.28735730655894914`}, {
         2.0449999999999786`, 0.2852885977626245}, {2.0499999999999785`, 
         0.2788619958964226}, {2.0549999999999784`, 0.26846167313121877`}, {
         2.0599999999999783`, 0.254636726510077}, {2.064999999999978, 
         0.23777316234595222`}, {2.069999999999978, 0.21803341330113915`}, {
         2.074999999999978, 0.19549507748201408`}, {2.079999999999978, 
         0.17038767645030584`}, {2.0849999999999778`, 0.14333787957246127`}, {
         2.0899999999999777`, 0.11551982785776609`}, {2.0949999999999775`, 
         0.08858954968206668}, {2.0999999999999774`, 0.06434081131578437}, {
         2.1049999999999773`, 0.04419102304430717}, {2.1099999999999772`, 
         0.028772268753306386`}, {2.114999999999977, 0.017865607533154408`}, {
         2.119999999999977, 0.010670313438650268`}, {2.124999999999977, 
         0.006189493912724943}, {2.129999999999977, 
         0.003520407039602143}}, $CellContext`\[CapitalDelta]t2 = 
       0.005, $CellContext`v1 = 0.6215175440323613, $CellContext`kdrag = 
       0.006142725885016496, $CellContext`k2[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          
          Blank[]]] := (((
           3 $CellContext`Br^2) ((Pi $CellContext`rm^2) $CellContext`hm)^2)/((
          1024 Pi) 
         Part[$CellContext`\[Rho], $CellContext`im])) ((-(((
              8 $CellContext`a^2) ($CellContext`L - \
$CellContext`z))/($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)^3) - \
(2 ($CellContext`L - $CellContext`z))/($CellContext`a^2 + ($CellContext`L - \
$CellContext`z)^2)^2 + (
            5 ($CellContext`L - $CellContext`z))/($CellContext`a^2 \
($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)) + ((
             8 $CellContext`b^2) ($CellContext`L - \
$CellContext`z))/($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)^3 + \
(2 ($CellContext`L - $CellContext`z))/($CellContext`b^2 + ($CellContext`L - \
$CellContext`z)^2)^2 - (
           5 ($CellContext`L - $CellContext`z))/($CellContext`b^2 \
($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)) + (5 
            ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`b])/$CellContext`b^3) + ((-$CellContext`z) ((
              8 $CellContext`a^2)/($CellContext`a^2 + $CellContext`z^2)^3 + 
            2/($CellContext`a^2 + $CellContext`z^2)^2 - 
            5/($CellContext`a^2 ($CellContext`a^2 + $CellContext`z^2)) - (
             8 $CellContext`b^2)/($CellContext`b^2 + $CellContext`z^2)^3 - 
            2/($CellContext`b^2 + $CellContext`z^2)^2 + 
            5/($CellContext`b^2 ($CellContext`b^2 + $CellContext`z^2))) + (5 
            ArcTan[$CellContext`z/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[$CellContext`z/$CellContext`b])/$CellContext`b^3)), \
$CellContext`\[Rho] = {1.7*^-8, 2.8*^-8}, $CellContext`k1int[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]]] := ((2 Pi)/Part[$CellContext`\[Rho], $CellContext`im]) 
        NIntegrate[$CellContext`r $CellContext`Bro1[$CellContext`z - \
$CellContext`zz, $CellContext`r, $CellContext`rm, $CellContext`hm/
             2, $CellContext`Br]^2, {$CellContext`r, $CellContext`a, \
$CellContext`b}, {$CellContext`zz, 0, $CellContext`L}, PrecisionGoal -> 7, 
          WorkingPrecision -> 12, MaxPoints -> 500], $CellContext`Bro1[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`r, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm2, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]]] := ($CellContext`Br ($CellContext`rm/(2 
          Pi))) (((($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2) 
            EllipticE[((
                4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 + $CellContext`z)^2)
             EllipticK[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
          Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2]) - ((($CellContext`rm + $CellContext`r)^2 + \
($CellContext`hm2 - $CellContext`z)^2) 
           EllipticE[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 - $CellContext`z)^2)
            EllipticK[((
              4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
         Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2])), $CellContext`v2 = 0.6215175440323613, $CellContext`g = 
       9.8, $CellContext`\[Rho]m = 7400, $CellContext`tmax := 
       Part[$CellContext`arr, 1, -1, 1], $CellContext`s = 
       0.16999999999999998`, $CellContext`tL0 = 
       0.07353260944444752, $CellContext`tL2 = 
       1.0448289344590722`, $CellContext`tL = 
       2.0323529089865136`, $CellContext`Vm = 
       4.071504079052372*^-6, $CellContext`vtint = 
       8.510448889591245, $CellContext`vt0 = 
       7.249586905829745, $CellContext`color1 = {
         RGBColor[1, 0.9, 0.7], 
         RGBColor[0.9, 0.9, 0.9]}, $CellContext`color2 = {
         RGBColor[0.7, 0.4, 0.4], 
         RGBColor[0.5, 0.5, 0.5]}, $CellContext`hm0 = 0.016, 
       Attributes[Subscript] = {NHoldRest}, 
       Attributes[PlotRange] = {ReadProtected}}; Typeset`initDone$$ = True),
    SynchronousInitialization->False,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellID->1267019178,ExpressionUUID->"b8eaff5d-3f8b-4bd2-bab4-34f91972ea0e"],

Cell[BoxData[
 TagBox[
  StyleBox[
   DynamicModuleBox[{$CellContext`bd$$ = 32., $CellContext`Br$$ = 
    1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
    0.005, $CellContext`graf$$ = 0, $CellContext`Hm$$ = 
    16., $CellContext`im$$ = 1, $CellContext`L$$ = 0.1, $CellContext`line$$ = 
    True, $CellContext`Rm$$ = 9., $CellContext`time$$ = 
    0.14, $CellContext`Z0$$ = -5., Typeset`show$$ = True, 
    Typeset`bookmarkList$$ = {
    "\"Coinciding of models\"" :> {$CellContext`L$$ = 0.1, $CellContext`bd$$ = 
       25., $CellContext`d$$ = 1/1000., $CellContext`im$$ = 
       1, $CellContext`Rm$$ = 9., $CellContext`Hm$$ = 14, $CellContext`Br$$ = 
       1, $CellContext`dt$$ = 0.005}, 
     "\"My experiment - Good adreement with model2!\"" :> {$CellContext`L$$ = 
       0.5, $CellContext`bd$$ = 25., $CellContext`d$$ = 
       2./1000, $CellContext`im$$ = 2, $CellContext`Rm$$ = 
       9, $CellContext`Hm$$ = 7.9, $CellContext`Br$$ = 
       0.85, $CellContext`dt$$ = 0.005}}, Typeset`bookmarkMode$$ = "Menu", 
    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
    "\"untitled\"", Typeset`specs$$ = {{{
       Hold[$CellContext`L$$], 0.1, 
       Row[{
         Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05}, {{
       Hold[$CellContext`bd$$], 32., 
       Row[{
         Subscript[
          Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5}, {{
       Hold[$CellContext`d$$], 0.002, 
       Row[{"\[CapitalDelta]", " (mm)"}]}, {
      0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
       "3"}}, {{
       Hold[$CellContext`im$$], 1, "metal"}, {1 -> "Cu", 2 -> "Al"}}, {
      Hold[
       Row[{
         Text[
          Style["tube: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Manipulate`Place[1], 
         Spacer[20], 
         Manipulate`Place[2], 
         Spacer[20], 
         Manipulate`Place[3], 
         Spacer[20], 
         Manipulate`Place[4]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Rm$$], 9., 
       Row[{
         Subscript[
          Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1}, {{
       Hold[$CellContext`Hm$$], 16., 
       Row[{
         Subscript[
          Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5}, {{
       Hold[$CellContext`Br$$], 1., 
       Row[{
         Subscript[
          Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1}, {
      Hold[
       Row[{
         Text[
          Style["magnet: ", 12, 
           RGBColor[0.4, 0.2, 0.2]]], 
         Spacer[20], 
         Manipulate`Place[5], 
         Spacer[20], 
         Manipulate`Place[6], 
         Spacer[20], 
         Manipulate`Place[7]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`Z0$$], -5., 
       Row[{"initial position ", 
         Subscript[
          Style["z", Italic], 0], " (cm)"}]}, -5, 2, 0.1}, {{
       Hold[$CellContext`graf$$], 0, "graphics"}, {0 -> Row[{
          Style["z", Italic], "(", 
          Style["t", Italic], ")"}], 1 -> Row[{
          Style["v", Italic], "(", 
          Style["t", Italic], ")"}], 2 -> Row[{
          Style["v", Italic], "(", 
          Style["z", Italic], ")"}], 3 -> Row[{
          Style["k", Italic], "(", 
          Style["z", Italic], ")"}], 4 -> Row[{
          Style["F", Italic], "(", 
          Style["z", Italic], ")"}]}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[8], 
         Spacer[5], 
         Manipulate`Place[9]}]], Manipulate`Dump`ThisIsNotAControl}, {{
       Hold[$CellContext`time$$], 0.14, "time (s)"}, 0, 
      Dynamic[
       Round[($CellContext`L$$ + Abs[$CellContext`z0]) (110/$CellContext`vt0),
         0.01]], 0.02}, {{
       Hold[$CellContext`dt$$], 0.005, 
       Row[{"\[CapitalDelta]", 
         Style["t", Italic], " (ms)"}]}, {
      0.002 -> "2", 0.005 -> "5", 0.01 -> "10"}}, {{
       Hold[$CellContext`line$$], True, "connect"}, {True, False}}, {
      Hold[
       Row[{
         Spacer[30], 
         Manipulate`Place[10], 
         Spacer[20], 
         Manipulate`Place[11], 
         Spacer[20], 
         Manipulate`Place[12], Null}]], Manipulate`Dump`ThisIsNotAControl}}, 
    Typeset`size$$ = {593., {204.693115234375, 211.306884765625}}, 
    Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     2, StandardForm, 
      "Variables" :> {$CellContext`bd$$ = 32., $CellContext`Br$$ = 
        1., $CellContext`d$$ = 0.002, $CellContext`dt$$ = 
        0.005, $CellContext`graf$$ = 0, $CellContext`Hm$$ = 
        16., $CellContext`im$$ = 1, $CellContext`L$$ = 
        0.1, $CellContext`line$$ = True, $CellContext`Rm$$ = 
        9., $CellContext`time$$ = 0.14, $CellContext`Z0$$ = -5.}, 
      "ControllerVariables" :> {}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> Quiet[
        Block[{$CellContext`gr0, $CellContext`gr1, $CellContext`gr2}, If[
           
           Or[$CellContext`bd$$ != $CellContext`bd0, $CellContext`d$$ != \
$CellContext`d0, $CellContext`L$$ != $CellContext`L0, $CellContext`Z0$$ != \
$CellContext`Z00, $CellContext`Rm$$ != $CellContext`Rm0, $CellContext`Hm$$ != \
$CellContext`Hm0, $CellContext`Br$$ != $CellContext`B0, $CellContext`im$$ != \
$CellContext`im0, $CellContext`model != $CellContext`model0, \
$CellContext`dt$$ != $CellContext`dt0], $CellContext`b = ($CellContext`bd$$/
              2)/1000; $CellContext`bd0 = $CellContext`bd$$; $CellContext`d0 = \
$CellContext`d$$; $CellContext`L0 = $CellContext`L$$; $CellContext`im0 = \
$CellContext`im$$; $CellContext`Z00 = $CellContext`Z0$$; $CellContext`z0 = \
$CellContext`Z0$$/
             100; $CellContext`Rm0 = $CellContext`Rm$$; $CellContext`rm = \
$CellContext`Rm$$/
             1000; $CellContext`Hm0 = $CellContext`Hm$$; $CellContext`hm = \
$CellContext`Hm$$/
             1000; $CellContext`B0 = $CellContext`Br$$; $CellContext`model0 = \
($CellContext`model = 
             1); $CellContext`arr = $CellContext`farr[$CellContext`b - \
$CellContext`d$$, $CellContext`b, $CellContext`L$$, $CellContext`z0, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$, \
$CellContext`model, $CellContext`dt$$]; $CellContext`tmax := 
            Part[$CellContext`arr, 1, -1, 1]; 
           Null]; $CellContext`s = $CellContext`L$$ - Interpolation[
            Part[$CellContext`arr, 1]][$CellContext`time$$]; $CellContext`tL0 = 
          If[$CellContext`z0 <= 0, 
            Interpolation[
             Reverse[
              Part[$CellContext`arr, 1], 2]][0], -0.1]; $CellContext`tL2 = 
          Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 2]][$CellContext`L$$/
            2.]; $CellContext`tL = Interpolation[
            Reverse[
             Part[$CellContext`arr, 1], 
             2]][$CellContext`L$$]; $CellContext`a = $CellContext`b - \
$CellContext`d$$; $CellContext`Vm = (
            Pi $CellContext`rm^2) $CellContext`hm; $CellContext`vtint = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k1int[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`vt0 = ((
             100 $CellContext`\[Rho]m) $CellContext`Vm) \
($CellContext`g/$CellContext`k2[$CellContext`L$$/
             2, $CellContext`a, $CellContext`b, $CellContext`L$$, \
$CellContext`rm, $CellContext`hm, $CellContext`Br$$, $CellContext`im$$]); \
$CellContext`color1 = {
            RGBColor[1, 0.9, 0.7], 
            RGBColor[0.9, 0.9, 0.9]}; $CellContext`color2 = {
            RGBColor[0.7, 0.4, 0.4], 
            RGBColor[0.5, 0.5, 0.5]}; $CellContext`gr1 = Show[
            Graphics[{
              Thickness[0.0007], 
              RGBColor[0, 0, 0], 
              Arrowheads[0.1], 
              
              Arrow[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ + 
                 Abs[$CellContext`z0] + $CellContext`hm0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], -
                  Abs[$CellContext`z0/2] - $CellContext`hm0}}], 
              Text[
               Subscript[
                Style["z", Italic, 13], 0], {(-0.14) 
                Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}], 
              Text[
               Style[
               "0", 12], {(-0.12) Sqrt[$CellContext`L$$], $CellContext`L$$}], 
              Text[
               Row[{
                 Style["L", Italic], "/2"}], {(-0.12) 
                Sqrt[$CellContext`L$$], $CellContext`L$$/2}], 
              Text[
               Style["L", Italic, 12], {(-0.12) Sqrt[$CellContext`L$$], 0}], 
              Text[
               Style[
               "z", Italic, 13], {(-0.105) 
                Sqrt[$CellContext`L$$], (-$CellContext`L$$)/20 - 
                Abs[$CellContext`z0/3]}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], 0}, {(-0.09) 
                 Sqrt[$CellContext`L$$], 0}}], 
              
              Line[{{(-0.1) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/2}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}}], 
              
              Line[{{(-0.1) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}, \
{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$ - $CellContext`z0}}], 
              Dashed, 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], 0}, {-$CellContext`b, 
                 0}}], 
              
              Line[{{(-0.09) Sqrt[$CellContext`L$$], $CellContext`L$$/
                 2}, {-$CellContext`b, $CellContext`L$$/2}}], 
              
              Line[{{(-0.09) 
                 Sqrt[$CellContext`L$$], $CellContext`L$$}, {-$CellContext`b, \
$CellContext`L$$}}], 
              Part[$CellContext`color1, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`a, 
                0}, {$CellContext`a, $CellContext`L$$}], 
              Part[$CellContext`color2, $CellContext`im$$], 
              
              Rectangle[{-$CellContext`b, -0.0005}, {-$CellContext`b + \
$CellContext`d$$ + 0.0001, $CellContext`L$$ + 0.0005}], 
              
              Rectangle[{$CellContext`b - $CellContext`d$$, -0.001}, \
{$CellContext`b, $CellContext`L$$ + 0.001}], 
              RGBColor[0.3, 0.5, 0.7], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s - $CellContext`hm/
                2}, {$CellContext`rm, $CellContext`s}], 
              RGBColor[0.7, 0.5, 0.4], 
              
              Rectangle[{-$CellContext`rm, $CellContext`s}, {$CellContext`rm, \
$CellContext`hm/2 + $CellContext`s}]}], 
            PlotRange -> {(-$CellContext`L$$)/10 - Abs[$CellContext`z0], 
              11 ($CellContext`L$$/10) + Abs[$CellContext`z0]}, Frame -> 
            False, ImageSize -> 0.9 {150, 370}]; $CellContext`gr2 = 
          Which[$CellContext`graf$$ == 0, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 1], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.03, 0.}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.03, $CellContext`L$$/2}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.03, $CellContext`L$$}], Gray, 
                Line[{{0, 0}, {5, 0}}], 
                Line[{{0, $CellContext`L$$/2}, {5, $CellContext`L$$/2}}], 
                Line[{{0, $CellContext`L$$}, {5, $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL0, $CellContext`z0}, {$CellContext`tL0, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL2, $CellContext`z0}, {$CellContext`tL2, 
                   1.3 $CellContext`L$$}}], 
                
                Line[{{$CellContext`tL, $CellContext`z0}, {$CellContext`tL, 
                   1.3 $CellContext`L$$}}], Red, 
                PointSize[0.03], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$]}]}, Frame -> 
              True, FrameStyle -> {Black}, AspectRatio -> 1, 
              ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{"Dependence of coordinate on time ", 
                  Style["z", Italic], "(", 
                  Style["t", Italic], ")"}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 1, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 2], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, 
              AxesOrigin -> {0, 0}, Epilog -> {Dashed, 
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 
                  14], {$CellContext`tL0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`tL2 - 0.015, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`tL - 
                  0.01, 0.05}], Gray, 
                Line[{{$CellContext`tL0, 0}, {$CellContext`tL0, 5}}], 
                Line[{{$CellContext`tL2, 0}, {$CellContext`tL2, 5}}], 
                Line[{{$CellContext`tL, 0}, {$CellContext`tL, 5}}], Red, 
                PointSize[0.025], 
                Point[{$CellContext`time$$, 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, Frame -> 
              True, AspectRatio -> 1, ImageSize -> {330, 330}, LabelStyle -> 
              10], FrameLabel -> {
               Style[
                Row[{
                  Style["t", Italic], "  s"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on time", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 2, 
            Show[
             ListPlot[
              Part[$CellContext`arr, 3], PlotStyle -> {
                PointSize[0.015], 
                Thickness[0.015]}, InterpolationOrder -> 2, 
              Joined -> $CellContext`line$$, PlotRange -> All, Frame -> True, 
              Axes -> False, Epilog -> {
                RGBColor[0.5, 0.2, 0.2], 
                Text[
                 Row[{
                   Style["z", Italic], " = 0"}, BaseStyle -> 14], {
                 0 + 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic], "/2"}, BaseStyle -> 
                  14], {$CellContext`L$$/2 - 0.01, 0.05}], 
                Text[
                 Row[{
                   Style["z", Italic], " = ", 
                   Style["L", Italic]}, BaseStyle -> 14], {$CellContext`L$$ - 
                  0.01, 0.05}], Gray, Dashed, 
                Line[{{0, 0}, {0, 5}}], 
                Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                PointSize[0.025], 
                Point[{
                  Interpolation[
                   Part[$CellContext`arr, 1]][$CellContext`time$$], 
                  Interpolation[
                   Part[$CellContext`arr, 2]][$CellContext`time$$]}]}, 
              AspectRatio -> 1, ImageSize -> {330, 330}], FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["v", Italic], "  m/s"}], Black, 15], 
               Style["Dependence of velocity on position", 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 3, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 4], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Gray, Dashed, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 6]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["k", Italic], "  Ns/m"}], Black, 15], 
               Style[
                Row[{"Dependence of drag coefficient on ", 
                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 
             12], $CellContext`graf$$ == 4, 
            Show[{
              ListPlot[
               Part[$CellContext`arr, 5], PlotStyle -> {
                 PointSize[0.015], 
                 Thickness[0.015]}, InterpolationOrder -> 2, 
               Joined -> $CellContext`line$$, PlotRange -> All, 
               AxesOrigin -> {0, 0}, Epilog -> {Dashed, Gray, 
                 Line[{{0, 0}, {0, 5}}], 
                 Line[{{$CellContext`L$$/2, 0}, {$CellContext`L$$/2, 5}}], 
                 Line[{{$CellContext`L$$, 0}, {$CellContext`L$$, 5}}], Red, 
                 PointSize[0.025], 
                 Point[{
                   Interpolation[
                    Part[$CellContext`arr, 1]][$CellContext`time$$], 
                   Interpolation[
                    Part[$CellContext`arr, 7]][$CellContext`time$$]}]}, Frame -> 
               True, AspectRatio -> 1, ImageSize -> {330, 330}]}, FrameLabel -> {
               Style[
                Row[{
                  Style["z", Italic], "  m"}], Black, 15], 
               Style[
                Row[{
                  Style["F", Italic], "  N"}], Black, 15], 
               Style[
                Row[{"Dependence of drag force on ", 
                  Style["z", Italic]}], 15, 
                RGBColor[0.3, 0.12, 0.12]]}, FrameTicksStyle -> 12]]; 
         Grid[{{$CellContext`gr1, $CellContext`gr2}}]]], 
      "Specifications" :> {{{$CellContext`L$$, 0.1, 
          Row[{
            Style["L", Italic], " (m)"}]}, 0.1, 1, 0.05, ImageSize -> Tiny, 
         ControlPlacement -> 1}, {{$CellContext`bd$$, 32., 
          Row[{
            Subscript[
             Style["D", Italic], "out"], " (mm)"}]}, 10, 40, 0.5, ImageSize -> 
         Tiny, ControlPlacement -> 2}, {{$CellContext`d$$, 0.002, 
          Row[{"\[CapitalDelta]", " (mm)"}]}, {
         0.0005 -> "0.5", 0.001 -> "1", 0.0015 -> "1.5", 0.002 -> "2", 0.003 -> 
          "3"}, ControlType -> Setter, ControlPlacement -> 
         3}, {{$CellContext`im$$, 1, "metal"}, {1 -> "Cu", 2 -> "Al"}, 
         ControlType -> Setter, ControlPlacement -> 4}, 
        Row[{
          Text[
           Style["tube: ", 12, 
            RGBColor[0.4, 0.2, 0.2]]], 
          Manipulate`Place[1], 
          Spacer[20], 
          Manipulate`Place[2], 
          Spacer[20], 
          Manipulate`Place[3], 
          Spacer[20], 
          Manipulate`Place[4]}], {{$CellContext`Rm$$, 9., 
          Row[{
            Subscript[
             Style["r", Italic], "m"], " (mm)"}]}, 5, 15, 1, ImageSize -> 
         Tiny, ControlPlacement -> 5}, {{$CellContext`Hm$$, 16., 
          Row[{
            Subscript[
             Style["h", Italic], "m"], " (mm)"}]}, 4, 32, 0.5, ImageSize -> 
         Tiny, ControlPlacement -> 6}, {{$CellContext`Br$$, 1., 
          Row[{
            Subscript[
             Style["B", Italic], "r"], " (T)"}]}, 0.6, 1.4, 0.1, ImageSize -> 
         Tiny, Appearance -> "Labeled", ControlPlacement -> 7}, 
        Row[{
          Text[
           Style["magnet: ", 12, 
            RGBColor[0.4, 0.2, 0.2]]], 
          Spacer[20], 
          Manipulate`Place[5], 
          Spacer[20], 
          Manipulate`Place[6], 
          Spacer[20], 
          Manipulate`Place[7]}], {{$CellContext`Z0$$, -5., 
          Row[{"initial position ", 
            Subscript[
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          0.2952118141778836}, {1.7249999999999852`, 0.2952067874377718}, {
          1.729999999999985, 0.29520123993557856`}, {1.734999999999985, 
          0.2951951128639609}, {1.739999999999985, 0.29518834026454943`}, {
          1.7449999999999848`, 0.2951808481010637}, {1.7499999999999847`, 
          0.2951725532053773}, {1.7549999999999846`, 0.29516336207821736`}, {
          1.7599999999999845`, 0.29515316952338194`}, {1.7649999999999844`, 
          0.2951418570911308}, {1.7699999999999843`, 0.2951292913026462}, {
          1.7749999999999841`, 0.2951153216230745}, {1.779999999999984, 
          0.2950997781455361}, {1.784999999999984, 0.295082468942512}, {
          1.7899999999999838`, 0.2950631770339786}, {1.7949999999999837`, 
          0.29504165691341283`}, {1.7999999999999836`, 
          0.29501763056305574`}, {1.8049999999999835`, 0.294990782878303}, {
          1.8099999999999834`, 0.29496075640747405`}, {1.8149999999999833`, 
          0.29492714529696634`}, {1.8199999999999832`, 0.294889488312478}, {
          1.824999999999983, 0.2948472607838107}, {1.829999999999983, 
          0.29479986529299934`}, {1.8349999999999829`, 
          0.29474662089204173`}, {1.8399999999999828`, 0.2946867505961225}, {
          1.8449999999999827`, 0.2946193668493384}, {1.8499999999999825`, 
          0.29454345460064674`}, {1.8549999999999824`, 0.2944578515557703}, {
          1.8599999999999823`, 0.2943612250833315}, {1.8649999999999822`, 
          0.29425204514733083`}, {1.8699999999999821`, 0.294128552509517}, {
          1.874999999999982, 0.2939887212902456}, {1.879999999999982, 
          0.2938302147910886}, {1.8849999999999818`, 0.29365033326355694`}, {
          1.8899999999999817`, 0.2934459520546904}, {1.8949999999999816`, 
          0.29321344827555945`}, {1.8999999999999815`, 0.2929486138355304}, {
          1.9049999999999814`, 0.2926465523932361}, {1.9099999999999813`, 
          0.2923015575547827}, {1.9149999999999812`, 0.2919069696152102}, {
          1.919999999999981, 0.29145500849865996`}, {1.924999999999981, 
          0.29093658167570713`}, {1.9299999999999808`, 
          0.29034106836760665`}, {1.9349999999999807`, 0.2896560863968707}, {
          1.9399999999999806`, 0.28886725750041947`}, {1.9449999999999805`, 
          0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
          1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
          0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
          1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
          0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
          1.9849999999999797`, 0.27398584016390054`}, {1.9899999999999796`, 
          0.27133320006818523`}, {1.9949999999999795`, 
          0.26870588461903755`}, {1.9999999999999793`, 0.2663734686978677}, {
          2.0049999999999795`, 0.26474245670712593`}, {2.0099999999999794`, 
          0.2643407457017548}, {2.0149999999999793`, 0.26571006387409535`}, {
          2.019999999999979, 0.2691609301252263}, {2.024999999999979, 
          0.2744257058130713}, {2.029999999999979, 0.28040919466673464`}, {
          2.034999999999979, 0.2853335787509585}, {2.0399999999999787`, 
          0.28735730655894914`}, {2.0449999999999786`, 0.2852885977626245}, {
          2.0499999999999785`, 0.2788619958964226}, {2.0549999999999784`, 
          0.26846167313121877`}, {2.0599999999999783`, 0.254636726510077}, {
          2.064999999999978, 0.23777316234595222`}, {2.069999999999978, 
          0.21803341330113915`}, {2.074999999999978, 0.19549507748201408`}, {
          2.079999999999978, 0.17038767645030584`}, {2.0849999999999778`, 
          0.14333787957246127`}, {2.0899999999999777`, 
          0.11551982785776609`}, {2.0949999999999775`, 0.08858954968206668}, {
          2.0999999999999774`, 0.06434081131578437}, {2.1049999999999773`, 
          0.04419102304430717}, {2.1099999999999772`, 
          0.028772268753306386`}, {2.114999999999977, 
          0.017865607533154408`}, {2.119999999999977, 
          0.010670313438650268`}, {2.124999999999977, 0.006189493912724943}, {
          2.129999999999977, 0.003520407039602143}}}, $CellContext`farr[
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`z0, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]], 
         Pattern[$CellContext`model, 
          Blank[]], 
         Pattern[$CellContext`dt, 
          Blank[]]] := 
       Block[{$CellContext`zz = $CellContext`z0, $CellContext`t2 = 
          0}, $CellContext`ff = {}; $CellContext`vv = {}; $CellContext`vs = \
{}; $CellContext`ss = {}; $CellContext`kk = {}; $CellContext`kt = {}; \
$CellContext`ft = {}; $CellContext`t2 = 
          0; $CellContext`\[CapitalDelta]t2 = $CellContext`dt; \
$CellContext`v1 = 0; 
         While[$CellContext`zz <= (11/10) $CellContext`L + 
            Abs[$CellContext`z0]/
             2, $CellContext`zz = $CellContext`zz + $CellContext`v1 \
$CellContext`\[CapitalDelta]t2; $CellContext`kdrag = 
            If[$CellContext`model == 1, 
              $CellContext`k2[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im], 
              $CellContext`k1int[$CellContext`zz, $CellContext`a, \
$CellContext`b, $CellContext`L, $CellContext`rm, $CellContext`hm, \
$CellContext`Br, $CellContext`im]]; $CellContext`v2 = $CellContext`v1 + \
$CellContext`g $CellContext`\[CapitalDelta]t2 - \
(($CellContext`kdrag/((($CellContext`\[Rho]m 
                 Pi) $CellContext`rm^2) $CellContext`hm)) $CellContext`v1) \
$CellContext`\[CapitalDelta]t2; 
           AppendTo[$CellContext`ss, {$CellContext`t2, $CellContext`zz}]; 
           AppendTo[$CellContext`vv, {$CellContext`t2, $CellContext`v1}]; 
           AppendTo[$CellContext`vs, {$CellContext`zz, $CellContext`v1}]; 
           AppendTo[$CellContext`kk, {$CellContext`zz, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ff, {$CellContext`zz, $CellContext`kdrag \
$CellContext`v1}]; 
           AppendTo[$CellContext`kt, {$CellContext`t2, $CellContext`kdrag}]; 
           AppendTo[$CellContext`ft, {$CellContext`t2, $CellContext`kdrag \
$CellContext`v1}]; $CellContext`t2 = $CellContext`t2 + $CellContext`\
\[CapitalDelta]t2; $CellContext`v1 = $CellContext`v2]; $CellContext`arr = \
{$CellContext`ss, $CellContext`vv, $CellContext`vs, $CellContext`kk, \
$CellContext`ff, $CellContext`kt, $CellContext`ft}], $CellContext`a = 
       0.0105, $CellContext`ff = CompressedData["
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         0.2919069696152102}, {1.919999999999981, 0.29145500849865996`}, {
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         1.9399999999999806`, 0.28886725750041947`}, {1.9449999999999805`, 
         0.28795800396007043`}, {1.9499999999999804`, 0.2869094392791453}, {
         1.9549999999999803`, 0.2857004668503916}, {1.9599999999999802`, 
         0.28430828643175005`}, {1.96499999999998, 0.2827096484356933}, {
         1.96999999999998, 0.28088341654830323`}, {1.9749999999999799`, 
         0.27881532623770605`}, {1.9799999999999798`, 0.2765062628726384}, {
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         0.27133320006818523`}, {1.9949999999999795`, 0.26870588461903755`}, {
         1.9999999999999793`, 0.2663734686978677}, {2.0049999999999795`, 
         0.26474245670712593`}, {2.0099999999999794`, 0.2643407457017548}, {
         2.0149999999999793`, 0.26571006387409535`}, {2.019999999999979, 
         0.2691609301252263}, {2.024999999999979, 0.2744257058130713}, {
         2.029999999999979, 0.28040919466673464`}, {2.034999999999979, 
         0.2853335787509585}, {2.0399999999999787`, 0.28735730655894914`}, {
         2.0449999999999786`, 0.2852885977626245}, {2.0499999999999785`, 
         0.2788619958964226}, {2.0549999999999784`, 0.26846167313121877`}, {
         2.0599999999999783`, 0.254636726510077}, {2.064999999999978, 
         0.23777316234595222`}, {2.069999999999978, 0.21803341330113915`}, {
         2.074999999999978, 0.19549507748201408`}, {2.079999999999978, 
         0.17038767645030584`}, {2.0849999999999778`, 0.14333787957246127`}, {
         2.0899999999999777`, 0.11551982785776609`}, {2.0949999999999775`, 
         0.08858954968206668}, {2.0999999999999774`, 0.06434081131578437}, {
         2.1049999999999773`, 0.04419102304430717}, {2.1099999999999772`, 
         0.028772268753306386`}, {2.114999999999977, 0.017865607533154408`}, {
         2.119999999999977, 0.010670313438650268`}, {2.124999999999977, 
         0.006189493912724943}, {2.129999999999977, 
         0.003520407039602143}}, $CellContext`\[CapitalDelta]t2 = 
       0.005, $CellContext`v1 = 0.6215175440323613, $CellContext`kdrag = 
       0.006142725885016496, $CellContext`k2[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          
          Blank[]]] := (((
           3 $CellContext`Br^2) ((Pi $CellContext`rm^2) $CellContext`hm)^2)/((
          1024 Pi) 
         Part[$CellContext`\[Rho], $CellContext`im])) ((-(((
              8 $CellContext`a^2) ($CellContext`L - \
$CellContext`z))/($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)^3) - \
(2 ($CellContext`L - $CellContext`z))/($CellContext`a^2 + ($CellContext`L - \
$CellContext`z)^2)^2 + (
            5 ($CellContext`L - $CellContext`z))/($CellContext`a^2 \
($CellContext`a^2 + ($CellContext`L - $CellContext`z)^2)) + ((
             8 $CellContext`b^2) ($CellContext`L - \
$CellContext`z))/($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)^3 + \
(2 ($CellContext`L - $CellContext`z))/($CellContext`b^2 + ($CellContext`L - \
$CellContext`z)^2)^2 - (
           5 ($CellContext`L - $CellContext`z))/($CellContext`b^2 \
($CellContext`b^2 + ($CellContext`L - $CellContext`z)^2)) + (5 
            ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[($CellContext`L - \
$CellContext`z)/$CellContext`b])/$CellContext`b^3) + ((-$CellContext`z) ((
              8 $CellContext`a^2)/($CellContext`a^2 + $CellContext`z^2)^3 + 
            2/($CellContext`a^2 + $CellContext`z^2)^2 - 
            5/($CellContext`a^2 ($CellContext`a^2 + $CellContext`z^2)) - (
             8 $CellContext`b^2)/($CellContext`b^2 + $CellContext`z^2)^3 - 
            2/($CellContext`b^2 + $CellContext`z^2)^2 + 
            5/($CellContext`b^2 ($CellContext`b^2 + $CellContext`z^2))) + (5 
            ArcTan[$CellContext`z/$CellContext`a])/$CellContext`a^3 - (5 
           ArcTan[$CellContext`z/$CellContext`b])/$CellContext`b^3)), \
$CellContext`\[Rho] = {1.7*^-8, 2.8*^-8}, $CellContext`k1int[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`a, 
          Blank[]], 
         Pattern[$CellContext`b, 
          Blank[]], 
         Pattern[$CellContext`L, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]], 
         Pattern[$CellContext`im, 
          Blank[]]] := ((2 Pi)/Part[$CellContext`\[Rho], $CellContext`im]) 
        NIntegrate[$CellContext`r $CellContext`Bro1[$CellContext`z - \
$CellContext`zz, $CellContext`r, $CellContext`rm, $CellContext`hm/
             2, $CellContext`Br]^2, {$CellContext`r, $CellContext`a, \
$CellContext`b}, {$CellContext`zz, 0, $CellContext`L}, PrecisionGoal -> 7, 
          WorkingPrecision -> 12, MaxPoints -> 500], $CellContext`Bro1[
         Pattern[$CellContext`z, 
          Blank[]], 
         Pattern[$CellContext`r, 
          Blank[]], 
         Pattern[$CellContext`rm, 
          Blank[]], 
         Pattern[$CellContext`hm2, 
          Blank[]], 
         Pattern[$CellContext`Br, 
          Blank[]]] := ($CellContext`Br ($CellContext`rm/(2 
          Pi))) (((($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2) 
            EllipticE[((
                4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 + $CellContext`z)^2)
             EllipticK[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
          Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 + \
$CellContext`z)^2]) - ((($CellContext`rm + $CellContext`r)^2 + \
($CellContext`hm2 - $CellContext`z)^2) 
           EllipticE[((
               4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - $CellContext`z)^2)] - \
($CellContext`rm^2 + $CellContext`r^2 + ($CellContext`hm2 - $CellContext`z)^2)
            EllipticK[((
              4 $CellContext`rm) $CellContext`r)/(($CellContext`rm + \
$CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2)])/(($CellContext`rm $CellContext`r) 
         Sqrt[($CellContext`rm + $CellContext`r)^2 + ($CellContext`hm2 - \
$CellContext`z)^2])), $CellContext`v2 = 0.6215175440323613, $CellContext`g = 
       9.8, $CellContext`\[Rho]m = 7400, $CellContext`tmax := 
       Part[$CellContext`arr, 1, -1, 1], $CellContext`s = 
       0.16999999999999998`, $CellContext`tL0 = 
       0.07353260944444752, $CellContext`tL2 = 
       1.0448289344590722`, $CellContext`tL = 
       2.0323529089865136`, $CellContext`Vm = 
       4.071504079052372*^-6, $CellContext`vtint = 
       8.510448889591245, $CellContext`vt0 = 
       7.249586905829745, $CellContext`color1 = {
         RGBColor[1, 0.9, 0.7], 
         RGBColor[0.9, 0.9, 0.9]}, $CellContext`color2 = {
         RGBColor[0.7, 0.4, 0.4], 
         RGBColor[0.5, 0.5, 0.5]}, $CellContext`hm0 = 0.016, 
       Attributes[Subscript] = {NHoldRest}, 
       Attributes[PlotRange] = {ReadProtected}}; Typeset`initDone$$ = True),
    SynchronousInitialization->False,
    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
    UnsavedVariables:>{Typeset`initDone$$},
    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
   Deployed->True,
   StripOnInput->False],
  Manipulate`InterpretManipulate[1]]], "Output",
 CellID->343480994,ExpressionUUID->"91bd3c49-e820-41b8-9a54-e6c0fb138850"]
}, Open  ]],

Cell[CellGroupData[{

Cell["", "DetailsSection",ExpressionUUID->"bb81bc8a-3123-4a45-884b-c46565ccccf6"],

Cell["\<\
Two models are used for the calculations: the point-dipole model of a magnet \
[1\[Dash]3] (model 1) and the exact cylindrical magnet model [4, 5] (model 2).\
\>", "DetailNotes",
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Cell["\<\
The cylindrical magnet model contains a double integral; therefore, \
calculation is very slow.\
\>", "DetailNotes",
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  3.820598544127907*^9, 3.820598546150894*^9}, {3.8207534219726152`*^9, 
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Cell[TextData[{
 "The results of both models coincide when ",
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 " both equal 1.6."
}], "DetailNotes",
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Cell["System parameters:", "DetailNotes",
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  FormBox["L", TraditionalForm]], "InlineMath",ExpressionUUID->
  "fa1bf52f-e2be-4b86-bd9b-ec1b16cd7a29"],
 " = pipe length,"
}], "DetailNotes",
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Cell[TextData[{
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  FormBox[
   SubscriptBox["D", "out"], TraditionalForm]], "InlineMath",ExpressionUUID->
  "7f7f5bdd-26d3-4fa8-870c-c6fae84990c9"],
 " = outer diameter of the pipe,"
}], "DetailNotes",
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  3.81973235260386*^9, 3.819732357723918*^9}, {3.820399655669532*^9, 
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Cell[TextData[{
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 " = thickness of the pipe wall,"
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Cell[TextData[{
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    StyleBox["m",
     FontSlant->"Plain"]], TraditionalForm]], "InlineMath",ExpressionUUID->
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 " = radius of the magnet,"
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  3.819732376038641*^9, 3.819732380538917*^9}, {3.8197329656131973`*^9, 
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Cell[TextData[{
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 " = volume of the magnet,"
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Cell[TextData[{
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