PHSI 425: Advanced Electromagnetism (PHSI)

Multipole expansions, the vector potential, mechanical properties of the electromagnetic field, Maxwell stress-energy tensor, gauge transformations, retarded solutions, Lienard-Wiechert potential, fields of a moving charge. Dipole radiation, arbitrary sources and radiated power.

Prerequisite: PHSI 332

The paper is taught by Terry Scott.

Reading Schedule for the 4th Edition

PART I: MECHANICAL PROPERTIES OF EM FIELDS
Topic	Section	Pages	Lecture	Lecture Questions
Theory of Vector Fields, Helmholtz Theorem	1.6, Appendix B	52-54, 582-587	1
Electrostatic Multipole Expansion	3.4	151-160	1	3.27, 3.30
Magnetic Vector Potential	5.4	243-251	2	5.28, 5.26, 5.23
Magnetostatic Multipole Expansion	5.4.3	252-255	2	5.34
Conservation Laws	8.1-8.2.3	356-370	3,4	8.2, 8.3, 8.4, 8.7, 8.6
PART II: RADIATION
Topic	Section	Pages	Lecture	Lecture Questions
Potentials and Fields	10.1.1-10.1.3	436-442	5	10.3(a), 10.3(b), 10.4
Retarded potentials	10.2	444-451	6	10.10
Lienard-Wiechert potentials	10.3.1	451-456	7,8	10.15, 10.16
E and B fields from L-W potentials	10.3.2	456-462	9,10	10.20, 10.23
Dipole Radiation	11.1	466-477	11	11.3, 11.6
Arbitrary source, Point charges	11.1.4, 11.2	477-488	12,13	11.11, 11.16
Radiation Reaction	11.2.2,11.2.3	488-496	14
Electrodynamics and Relativity	12.1.1, 12.3	502-507, 550-570	(14),15

Homework Schedule for the 4th Edition

Homework 1

Questions 3.31, 3.46, 3.47, 5.59, 5.60.

Question 5.60 requires the solutions to Questions 5.29 and 5.36 (in the Third edition) - click the problem number to see the solution to these problems.

Homework 2

Questions 8.17, 8.19, 10.11, 10.12

Homework 3

Questions 11.12, 11.13 (Third Edition Only), 11.14, 11.34

RJB's derivation of Eq(10.21)