| Day and Date | Lecture Content and Homework Assignment |
|---|---|
| Fri. Aug. 22, 2008 |
Lecture: Basics of electrostatics: Jackson 1.1-1.3. Homework (HW #1: due 8/27): Jackson 1.1. |
| Mon. Aug. 25, 2008 |
Lecture: Basic electrostatics, contd.: Jackson 1.3-1.5. Homework (HW #2: due 9/3):
|
| Wed. Aug. 27, 2008 |
Lecture: Basics of electrostatics: Jackson 1.5-1.7. Homework (HW #2: due 9/3): 1. Jackson 1.10. 2. This problem. |
| Fri. Aug. 29, 2008 |
Lecture: Integral equation for potential; Dirichlet, Neumann, Cauchy
and Mixed boundary conditions; Uniqueness of solutions: Jackson 1.7-1.9. Homework (HW #2: due 9/3): Jackson 1.11, 1.12. |
| Tue. Sep. 2, 2008 |
Lecture: Green's function method of solving electrostatic problems: Jackson 1.10. Homework (HW #3: due 9/10): Jackson 1.14, 1.15. |
| Wed. Sep. 3, 2008 |
Lecture: Electrostatic Energy density; Capacitance. Action Principle,
Euler Equations for a Field and the Variational Method. Homework (HW #3: due 9/10): Jackson 1.17. |
| Fri. Sep. 5, 2008 |
Lecture: Computation using the variational principle. The method of
images for a grounded, conducting plane and a grounded, conducting sphere. Homework (HW #3: due 9/10). |
| Mon. Sep. 8, 2008 |
Lecture: Method of Images, continued: Images in spheres: a grounded sphere,
fixed potential sphere, charged sphere, sphere in an electric field. Homework (HW #4: due 9/17): Jackson 2.5. |
| Wed. Sep. 10, 2008 |
Lecture: Split sphere problem using Green's functions. Homework (HW #4: due 9/17): Jackson 2.7. |
| Fri. Sep. 12, 2008 |
Lecture: Split sphere problem (continued) and Orthogonal Functions. Homework (HW #4: due 9/17). |
| Mon. Sep. 15, 2008 |
Lecture: 3-D integrals using spherical coordinates,
function expansions in various bases. Homework (HW #5: due 9/24). |
| Wed. Sep. 17, 2008 |
Lecture: Separation of variables, Cartesian and cylindrical coordinates. Homework (HW #5: due 9/24): Jackson 2.26a, 2.26b. |
| Fri. Sep. 19, 2008 |
Lecture: Separation of variables, cylindrical coordinates,
continued. Homework: Jackson 2.26c and this problem (HW #5: due 9/24). |
| Mon. Sep. 22, 2008 |
Lecture: Laplace equation in spherical coordinates. Legendre
polynomials. Spherical Harmonics. Boundary value problems with and
without azimuthal symmetry. Homework (HW #6: due 10/1): Jackson 3.1. |
| Wed. Sep. 24, 2008 |
Lecture: The addition theorem for spherical harmonics. Hints for
solving some boundary value problems (early part of Jackson Ch. 3 problems). Homework (HW #6: due 10/1): this problem. |
| Fri. Sep. 26, 2008 |
Lecture: The Laplace Equation in cylindrical coordinates and Bessel Functions. Homework (HW #6: due 10/1): this problem. |
| Mon. Sep. 29, 2008 |
Lecture: Boundary value problems in cylindrical coordinates. Homework (HW #7: due 10/8): Jackson 3.10. |
| Wed. Oct. 1, 2008 |
Lecture: Multipole expansions. Homework (HW #7: due 10/8): Jackson 4.1 (a) and (b). |
| Fri. Oct. 3, 2008 |
Lecture: The electric field due to a dipole. Homework (HW #7: due 10/8): this problem. |
| Mon. Oct. 6, 2008 |
In Class: Part A of the First Test. Part B is a Take Home test: return by 9 AM on
10/7/2008. This exam includes all covered material from Jackson sections 1.1 through 3.6 (inclusive). |
| Wed. Oct. 8, 2008 |
Lecture: Multipole expansion of electrostatic energy of a charge
distribution. Dielectrics. Homework (HW #8: due 10/15): Jackson 4.7. |
| Mon. Oct. 13, 2008 |
Lecture: Introduction to Dielectrics. Homework (HW #9: due 10/22): this problem. |
| Wed. Oct. 15, 2008 |
Lecture: Solving boundary value problems with dielectrics. Homework (HW #9: due 10/22): Jackson 4.9. |
| Fri. Oct. 17, 2008 |
Lecture: Polarizability at the macroscopic and microscopic levels Homework (HW #9: due 10/22): Jackson 4.10. |
| Mon. Oct. 20, 2008 |
Lecture: Energy in dielectrics. Elementary magnetostatics. Homework (HW #10: due 10/29): Jackson 5.1. |
| Wed. Oct. 22, 2008 |
Lecture: Maxwell Equations for Magnetostatics and the Vector
Potential. Homework (HW #10: due 10/29): Jackson 5.6. |
| Fri. Oct. 24, 2008 |
Lecture: The vector potential and magnetic field of a circular current. Homework (HW #10: due 10/29): this problem. |
| Mon. Oct. 27, 2008 |
Lecture: Magnetic multipole expansion and the vector potential of a
dipole. Homework (HW #11: due 11/5): Jackson 5.10. |
| Wed. Oct. 29, 2008 |
Lecture: Forces on a current distribution due to a magnetic field. Homework (HW #11: due 11/5): this problem. |
| Fri. Oct. 31, 2008 |
Lecture: Torque on a current distribution due to a magnetic field. Homework (HW #11: due 11/5): Jackson 5.11. |
| Mon. Nov. 3, 2008 |
Lecture: Boundary conditions and Boundary value problems in
Magnetostatics. Homework (HW #12: due 11/12): Jackson 5.15 (a). |
| Wed. Nov. 5, 2008 |
Lecture: The problem of B and H fields in a uniformly magnetized
sphere via the magnetic scalar and vector potentials. Homework (HW #12: due 11/12): Jackson 5.15 (b), (c). |
| Fri. Nov. 7, 2008 |
Lecture: Michael Faraday, Faraday's Law of Induction, Lenz's Law,
Mutual- and Self-Inductance, Magnetic Energy density. Homework (HW #12: due 11/12): Jackson 5.30. |
| Mon. Nov. 10, 2008 |
In Class: Part A of the Second Test.
Part B is a Take Home test: return by 9 AM on 11/11/2008. This exam includes all covered material from Jackson sections 3.7 through 5.8 (inclusive). |
| Wed. Nov. 12, 2008 |
Lecture: Maxwell's modification of Ampere's Law, Potentials, Gauges. Homework (HW #13: due 11/19): this problem. |
| Fri. Nov. 14, 2008 |
Lecture: Solving the equations of electrodynamics: step 1. Homework (HW #13: due 11/19): this problem. |
| Mon. Nov. 17, 2008 |
Lecture: Retarded potentials. Homework (HW #14: due 11/24): this problem. |
| Wed. Nov. 19, 2008 |
Lecture: Jefimenko's equations. Evaluating retarded potentials.
The Poynting formulation of energy conservation. Homework (HW #14: due 11/24): Jackson 6.2. |
| Fri. Nov. 21, 2008 |
Lecture: Maxwell's Stress Tensor. Homework: none. |
| Mon. Nov. 24, 2008 |
Lecture: More on Maxwell's Stress Tensor. Homework (HW #15: due 12/1): this problem. |
| Mon. Dec. 1, 2008 |
Lecture: Electromagnetic waves. Homework (HW #16: due 12/3): this problem. |
| Wed. Dec. 3, 2008 |
Lecture: Reflection and Refraction of Electromagnetic waves. Simple
model for ε(ω) and the plasma frequency ωp. Homework: none. |
| Fri. Dec. 5, 2008 |
Lecture: None - already covered on Tue., Sep. 2. Homework: None. |
| Wed. Dec. 10, 2008 9:00 AM - 12:00 noon | FINAL EXAM: Covers ALL material! |