Aperçu des sections
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Bulletin board Forum
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Dear students of Electrodynamics I
This course (which in principle will be taught in English) will go over the first "unified field theory" in Physics, i.e., Classical Electrodynamics. The four Maxwell Equations not only managed to describe all electromagnetic phenomena, but also pointed to new applications and discoveries. But you have learned all that in your undergraduate courses on Electromagnetism.
In this graduate course we will take advantage of the range of mathematical tools and acquired knowledge from related areas of Physics, to go deeper into the properties of electric and magnetic fields, boundary conditions, the dynamics of electromagnetic radiation, the interaction with matter, and so on.
The basic textbook is, of course J. D. Jackson's "Classical Electrodynamics", which you can find almost anywhere. Other useful references are Griffith's "Introduction to Electrodynamics" (which you should consult if at any point you feel unsure about your background), as well as Greiner's "Classical Electrodynamics" and Zangwill's "Modern Electrodynamics". Another text which is sometimes helpful is Blandford & Thorne, "Applications of Classical Physics" (http://www.pmaweb.caltech.edu/Courses/ph136/yr2012/)
Below is a summary of the topics which we will try to cover during this course:
Part 1: Electrostatics
- Poisson and Laplace Equations
- Maxwell Equations
- Boundary conditions
- Conductors
- Advanced methods: Green’s functions; the method of images; separation of variables; multipole expansion
Part 2: Dielectric materials, Magnetostactics & Magnetism in matter
- Electric fields in matter
- Boundary conditions in matter
- Magnetostactics
- Applications of Ampère’s Law
- Magnetic fields in matter
Part 3: Electrodynamics
- Ohm’s Law, Faraday’s Law and Lenz’s Law
- Inductance
- Conservation equations
- Maxwell’s Equations revisited
- Electromagnetic radiation: emission & polarization
Part 4: Electromagnetic waves
- Gauge transformations
- Electromagnetic waves
- Wave mechanics
- Waves in vacuum
- Energy & momentum
- Relativity
- Relativistic Electrodynamics
Finally, here is how I think we will grade your performance during this course.
Exams (approximate dates, TBC!)
- P1 - May 14 (weight 3/10)
- P2 - July 9 (weight 4/10)
Please note: substitute exam sometime in August -- but only if you miss P1 or P2, and with detailed justification
Problem sets (which will be handed over using this website):
- every two weeks, approximately. Due on the day the next problem set is handed over (i.e., you will have typically two weeks to solve them)
- Weight 3/10
Finally, classes are on Tuesdays and Fridays, 10-11:40am (Brasilia standard time) -- and, of course, they will be fully online for now, for obvious reasons.
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This PS is due April 13 and your solution should be sent to natali.santi@usp.br.
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This PS is due April 27 and your solution should be sent to natali.santi@usp.br.
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Solution of PS1.
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Solution of PS2.
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This PS is due May 11 and your solution should be sent to natali.santi@usp.br.
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Solution of PS3.
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This PS is due June 1 and your solution should be sent to natali.santi@usp.br
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This PS is due June 22 and your solution should be sent to natali.santi@usp.br
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Solution of PS4.
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This is a Jupyter Notebook where there is a solution for Laplace Equation, using Relaxation Method for different examples.
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This is a pdf version of the previous Jupyter Notebook.
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This is a text file with some instructions about how to install and run Jupyter Notebooks.
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Supplementary material
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Supplementary material/information
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Supplementary material
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Supplementary material - question 3
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Supplementary material
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Supplementary material
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Supplementary material
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Supplementary material
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Supplementary material
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ATTENTION: PS5 considerations.
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Grades
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