Spring 2013
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
Faraday's Law
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