## Topics for Midterm Exam 2

EMAG CONCEPTS

Ampere's circuital law
differential form
integral form
Examples:
H inside a solenoid
H in a coaxial cable

Current densities
surface
volume

Displacement current
examples: capacitor

use integral form to get EMF
differential form

Maxwell's equations
differential and integral form
Test a proposed field for consistency with Maxwell's equations
Recover the missing field given either E or H
Find the surface charge density given E in an infinite parallel-plate
waveguide
Find the surface current density given H in an infinite parallel-plate
waveguide

Material properties
\epsilon and \mu
Give examples of materials that are:
good dielectrics
good conductors
semiconductors
Use appropriate boundary conditions on fields at interfaces

Wave equation in 1 dimension
General solution
Application to plane waves
Test whether a function satisfies the 1-d wave equation
Physical interpretation
Phase velocity

Wave equation in 1 dimension
Single-frequency solutions
Temporal frequency
Spatial frequency

Boundary conditions on B_n

Boundary conditions on H_t

Poynting's theorem
Calculate magnitude and direction of power flux given E and H

Wave equation in 1 dimension
Single-frequency solutions
Temporal frequency
Spatial frequency

Wave equation in 3 dimensions
Plane waves in conducting media
Skin depth
Surface resistance

Polarization of electromagnetic waves
Plane and circular polarization
Wire-grid polarizer
Dichroic materials
Malus' law

Parallel-plate waveguide
Application of boundary conditions to determine the directions of
electric and magnetic fields
Parallel-plate waveguide as a polarization-sensitive
device

VECTOR CALCULUS

curl of a vector field
Cartesian
cylindrical

Stokes' theorem

All vector calculus topics from MT 1