Learning Outcomes
On completion, the students should be able to;
1. derive Maxwell’s equation set from the empirical laws of electromagnetism;
2. identify the fundamental laws of electromagnetism to solve simple problems of electrostatics,
magnetostatics and electromagnetic induction in a vacuum;
3. modify Maxwell’s laws to apply in the presence of materials and solve problems involving
them;
4. derive the electromagnetic boundary conditions which apply at the interface between two
simple media, and to use them to solve problems involving two or more materials;
5. explain the properties of plane electromagnetic waves in a vacuum and in simple media and
to be able to derive these properties from Maxwell’s equations; and
6. apply the special theory of relativity to problems in electromagnetism.
Course Contents
Review of Vector calculus. Electrostatics and Magnetostatics. Magnetization and magnetic
susceptibility. Laplace’s equation and boundary value problems. Multipole expansions. EM waves
in dielectric and magnetic materials. Polarization of EM waves. Electromagnetic induction.
Faraday’s and Lenz’s laws. A.C. Circuits. Maxwell’s equations. Lorentz covariance and special
relativity. Gauss theorem in dielectrics. Poisson’s equations. Uniqueness theorem. Magnetic
properties. Motors. Generators. Poynting vectors.
