Graduate Electrodynamics

Problem Sets

(c) R. Johnson 1996 - All rights reserved

The following are the problem sets for our graduate course in electrodynamics. The numbered problems come from Jackson, Classical Electrodynamics, 2nd Ed.. All problem set files are in PostScript. Solutions are given when available.

Quarter 1
- Homework 0: Getting aquainted with the computer.
- Problem Set 1: Math Review, Units, and Green's Theorem.
  - Problem 1. Units conversion. Solution by Andrew Wolff.
  - Problem 2. Fields from a Exp[- m r]/r potential.
  - Problem 3. Divergence of a rhat/r^2 field.
  - Problem 4. Potential from a field with a Curl.
  - Problem 5. Jackson 1.12. Green's reciprocation theorem.
  - Problem 6. Jackson 1.13. A charge between two plates.
- Problem Set 2: Mathematica and Image Charges.
  - Problem 1. Line Integral.
  - Problem 2. Fourier Bessel Expansion.
  - Problem 3. Two non-concentric wires.
  - Problem 4. Green's function for a right angle.
- Problem Set 3:Conformal Mappings and Finite Element Analysis.
  - Problem 1 and 2. Linear Transform.
  - Problem 3. Schwarz-Cristoffel Transform.
  - Problem 4. Finite Element solution to problem 3.
- Problem Set 4: Separation of Variables, Orthogonal Function Expansions.
  - Problem 1: Steckel Matrix
  - Problem 2: Jackson 3.1
  - Problem 3: Jackson 3.2
  - Problem 4: Cylindrical cavity with potentials on the top and side.
  - Problem 5: Jackson 2.10
  - Problem 6: Jackson 3.9
  - Problem 7: Jackson 3.15
  - Problem 8: Jackson 3.15 - Plot of charge densiy.
Quarter 2
- Problem Set 1: Dielectrics.
  - Problem 1: Jackson 4.2
- Problem Set 2: Magnetostatics.
- Problem Set 3: Time Dependent Equations.
- Problem Set 4: Electromagnetic Waves.
- Problem Set 5: Wave Guides.
Quarter 3
- Problem Set 1: Simple Radiating Systems.
- Problem Set 3: Relativity.
- Problem Set 4: DE/dx, Cerenkov light and Multiple Scattering.
- Problem Set 5: Synchrotron and Transition Radiation.