# E&M and Optics

### Electrostatics

Formulas

Electrostatic force, field, potential energy, potential,
energy conservation

Flux, Gauss' law

Properties of conductors and
capacitors

Kinematics, (electric force)

Uniqueness theorem, boundary value problems

Method of images

Electrostatic energy (conductors and
dipoles)

Maxwell's equations for electrostatics

### Dielectrics

Formulas

Polarization and the electric
displacement

Boundary value problems with dielectrics

Gauss' law for **D**

The method of images with dielectrics

Capacitors with
dielectrics, energy, force

### Magnetostatics

Formulas

Current and
DC circuits (Ohms law)

Resistors in series and parallel,
Kirchhoff's rules

Maxwell's equations for
magnetostatics, boundary conditions

Ampere's law

Biot-Savart law

Magnetic dipole moment and dipole field

Force and torque on moving charges, current
carrying wires, and
dipoles

Magnetostatic energy

Magnetic materials

### Quasi-static situations

Formulas

Faraday's law

Motional emf

Faradays law/Motional emf

Mutual and self inductance

Induced emf and energy

Maxwell's displacement current

### AC and transient circuits

Formulas

AC circuits RC

AC circuits RL

AC circuits RLC

AC circuits ladder

AC circuits (other circuits)

Transients RC

Transients RL

Transients RLC

### Maxwell's
Equations: Electrodynamics

Formulas

Maxwell's equations, (charge
conservation, wave equation)

Scalar and vector potentials

Circuits and non-conservative
fields

Energy and momentum flux (formal)

Energy and momentum flux (examples)

### Electromagnetic
waves

Formulas

Simple plane waves

Plane waves in dielectrics, dielectric-dielectric boundaries

Plane waves in conductors, dielectric-conductor boundaries

Perfect conductors and wave guides

Geometrical optics

Wave Optics

Polarization

### Producing electromagnetic radiation

Formulas

Point charge in
non-periodic motion

Point charges in
periodic motion

Point
charges in damped periodic motion

Radiating dipoles

Antennas

Scattering of radiation

Other radiation problems

### Electrodynamics
and relativity

Formulas

Lorentz transformation of the electromagnetic fields

Lorentz transformation of the 4-vector current and potential

The transformation of the force

Lorentz Invariants

The Doppler effect