# Fiches de cours 2016-2017

## Classical electrodynamics

#### Enseignant(s) :

Augusto Penedones Fernandes João Miguel

English

#### Summary

The goal of this course is the study of the physical consequences of Maxwell equations.

#### Content

I Maxwell equations: the laws of electrodynamics, differential and integral form of Maxwell equations, scalar and vector potential, gauge transformations, solutions of Maxwell equations using Green functions, Newmann and Dirichlet boundary conditions, vacuum solutions and solutions in the presence of charges and currents, retarded potentials, Liénard-Wiechert potentials, radiation emission by moving charges.

II Multipole expansion: electrostatics, magnetostatics, and electrodynamics, dipole radiation

III Special Relativity: Maxwell equations and the birth of relativity, Galilean and Lorentz transformations, four-vectors and tensor calculus, covariant form of Maxwell equations, relativistic particle dynamics.

IV Electric and magnetic field in matter: derivation of macroscopic electrodynamic equations, continuity boundary conditions, waves in a medium, reflection and refraction of waves.

#### Learning Prerequisites

##### Recommended courses

General physics, mechanics and mathematics

##### Important concepts to start the course

Differential and integral calculus. Newtonian mechanics. Electro and magnetostatics.

#### Learning Outcomes

By the end of the course, the student must be able to:
• Describe Maxwell equations and its physical consequences
• Formalize physical problems into mathematical equations.
• Solve problems analytically and/or numerically
• Formulate the basic consequences of special relativity
• Synthesize specific electrodynamic phenomena into precise mathematical language
• Describe physical phenomena in the language of fields and particles
• Derive specific consequences of Maxwell equations
• Explain the meaning of each term in Maxwell equations

#### Transversal skills

• Use a work methodology appropriate to the task.
• Continue to work through difficulties or initial failure to find optimal solutions.

#### Teaching methods

Lectures and problem solving sessions.

#### Expected student activities

Attendance at lectures, problem solving.

Written exam.

#### Resources

##### Bibliography

"Classical electrodynamics / John David Jackson". Year:1999. ISBN:978-0-471-30932-1

"Le cours de physique de Feynman / [Richard] Feynman, [Robert] Leighton, [Matthew] Sands". Year:1995. ISBN:2-10-004504-0

"Théorie des champs / L. Landau, E. Lifchitz; [traduit du russe par Sergueï Medvédev]". Year:1999. ISBN:5-03-000641-9

### Dans les plans d'études

• Physique, 2016-2017, Bachelor semestre 5
• Semestre
Automne
• Forme de l'examen
Ecrit
• Crédits
4
• Matière examinée
Classical electrodynamics
• Cours
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines

LuMaMeJeVe
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
En construction
Cours
Exercice, TP
Projet, autre

### légende

• Semestre d'automne
• Session d'hiver
• Semestre de printemps
• Session d'été
• Cours en français
• Cours en anglais
• Cours en allemand