Electromagnetism 2

Teacher(s)

Degrande Céline;

Language

French
> English-friendly

Prerequisites

It is recommended that students master the mathematical methods for physics as covered in the LPHYS1202 course, and it is strongly recommended that the student master the notions of electromagnetism as taught in the LPHYS1221 course.

Main themes

This teaching unit expands on the study of electromagnetism as well as on the application of advanced mathematical methods put to use in the rich and diversified context of Maxwell's equations in vacuum and in matter.

Learning outcomes

At the end of this learning unit, the student is able to :
1	a.     Contributions of this teaching unit to the learning outcomes of the programme AA1 : 1.1, 1.4 AA2 : 2.1 AA3 : 3.3, 3.5, 3.6 AA6 : 6.3 b.     Specific learning outcomes of the teaching unit At the end of this teaching unit, the student will be able to : 1. derive Maxwell's equations in vacuum from basic notions: electromagnetic forces, Faraday's law, and the charge continuity equation;  2. establish the connection between the macroscopic Maxwell equations in matter and microscopic models of matter; 3.  apply the laws of electromagnetism to a large variety of electromagnetic phenomena; 4. master in the resolution of problems a number of mathematical techniques which are tailored to symmetries of the electromagnetic configurations of the considered systems; 5. identify a variety of descriptions and a diversity of expressions for the equations of electromagnetism; 6. deepen the knowledge of the physics of electromagnetic waves; 7. understand the mechanisms of electromagnetic radiations;  8. understand relativistic effects and their applications in the electromagnetism of moving charges; 9. address the diverse forms of energy and momentum of the electromagnetic fields in vacuum and in matter.

Content

1. Electrostatics and Gauss law, Poisson's equation, electrostatic energy, multipolar moments
2. Magnetostatics and Ampère's law, vector potential, magnetic moments, gauge invariance.
3. Induction, symmetries and conservation laws
4. Electromagnetic waves
5. Charges in motion
6. Radiation sources
7. Action of electromagnetism

Teaching methods

Traditional blackboard teaching.
Individual resolution of the exercises with the possibility to ask question during the tutored practicals.

Evaluation methods

·      Written final exam.

Bibliography

L'UE s'articule en premier lieu autour de l'ouvrage
Anupam Garg, Classical Electromagnetism in a Nutshell,(Princeton, 2012)
mais peut, par ailleurs, s'appuyer sur des développements présentés dans
- John David Jackson, Electrodynamique Classique (Dunod, Paris, 2001)
- Andrew Zangwill, Modern Electrodynamics (Cambridge University Press,
  Cambridge, 2013, reprinted 2015),
- David J. Griffiths, Introduction to Electrodynamics (Cambridge University Press,
  Cambridge, 4th edition, 2017), ouvrages pouvant également servir de références bibliographiques pour cet enseignement.
---------------
The UE is firstly based on the book
- John David Jackson, Classical Electrodynamics (Dunod, Paris, 2001)
but can also rely on developments presented in
- Andrew Zangwill, Modern Electrodynamics (Cambridge University Press,
  Cambridge, 2013, reprinted 2015),
- David J. Griffiths, Introduction to Electrodynamics (Cambridge University Press,
  Cambridge, 4th edition, 2017), books that can also be used as bibliographic references for this teaching.

Faculty or entity

> PHYS