I. Topical Outline: (*denotes optional topic)
A. Vector Potential
1. The divergence of B
2. Properties of vector potential
3. Uniform induction
4. Straight currents
5. Infinitely long ideal solenoid
B. Faraday’s Laws of Induction
1. Definition
2. Stationary media
3. Moving media
4. Self and mutual inductance
C. Magnetic Energy
1. Energy of a system of free currents
2. Energy in terms of the magnetic induction
3. Magnetic forces on circuits
D. Magnetic Multipoles
1. Multipole expansion of the vector potential
2. The magnetic dipole field
E. Magnetism in Matter
1. Magnetization
2. Magnetization current densities
3. Uniformly magnetized sphere
4. The magnetic field
5. Magnetic susceptibility
6. Magnetic energy
7. Ferromagnetic materials
F. Maxwell’s Equations
1. The displacement current
2. General form
3. Maxwell’s equations for linear isotropic homogeneous media
4. Poynting theorem
5. Electromagnetic momentum
G. Plane Waves
1. The wave equation
2. Plane waves in non-conductors
3. Plane waves in conductors
4. Polarization
H. Reflection and Refraction of Waves
1. The laws of reflection and refraction
2. E parallel to the plane of the incidence
3. E perpendicular to the plane of incidence
4. Total reflection
I. Radiation
1. Retarded potentials
2. Electric dipole radiation
3. Magnetic dipole radiation
4. Antennas
*J. Field in a Wave Guide
1. Rectangular wave guide
2. TEM waves
3. Resonant cavities
*K. Special Relativity
1. Origin
2. Postulates and Lorentz transformation
3. 4 – Vectors and Tensors
