Spring 2009

Professor C. D. Cantrell, UT-Dallas

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

Wave equation in 3 dimensions
   Plane waves in conducting media
   Skin depth
      Surface resistance
      
Boundary conditions on B_n

Boundary conditions on H_t

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


VECTOR CALCULUS

curl of a vector field
   Cartesian
   cylindrical
  
Stokes' theorem

All vector calculus topics from MT 1