| Day and Date | Lecture Content and Homework Assignment |
|---|---|
| Fri. Aug. 21, 2009 |
Lecture: Coulomb's Law and the Electric Field. Gauss's Law. Homework (HW #1: due 8/26): Jackson 1.3. |
| Mon. Aug. 24, 2009 |
Lecture: Gauss's Law and the Scalar Potential. Homework: None. |
| Tue. Aug. 25, 2009 |
Lecture: 3:30-4:20 PM. Surface charge and dipole moment densities. Homework (HW #2: due 9/2): Jackson 1.4. |
| Wed. Aug. 26, 2009 |
Lecture: Surface Discontinuities. Poisson's Equation. Homework (HW #2: due 9/2): Jackson 1.7. |
| Fri. Aug. 28, 2009 |
Lecture: Green's First Identity, Green's Theorem and Integral equation
for the solution to Poisson's equation. Dirichlet and Neumann Boundary
Conditions and Uniqueness of Solutions in such cases. Homework (HW #2: due 9/2): Jackson 1.5. |
| Mon. Aug. 31, 2009 |
Lecture: The method of Green functions applied to Poisson's
equation. Homework (HW #3: due 9/9): Jackson 1.14. |
| Wed. Sep. 2, 2009 |
Lecture: Electrostatic Potential Energy of Charge configurations,
Energy Density in Electric Fields, and Capacitance. Homework (HW #3: due 9/9): None. |
| Fri. Sep. 4, 2009 |
Lecture: Student derivations of vector identities on Griffiths's cover
and facing pages. Homework (HW #3: due 9/9): Consider the formulas and theorems on the inside front cover of Jackson and on the facing page. Work out all those that are not on the page facing the inside front cover of Griffiths. |
| Mon. Sep. 7, 2009 |
Lecture: No class. Labor Day Holiday. Homework: None. |
| Wed. Sep. 9, 2009 |
Lecture: Capacitance. Classical Field equations from the Action
Principle. Action for Electrostatics. Homework (HW #4: due 9/16): Jackson 1.17. |
| Fri. Sep. 11, 2009 |
Lecture: The Method of Images and Green Functions Homework (HW #4: due 9/16): Jackson 2.2. Specify also the Green function for this problem. |
| Mon. Sep. 14, 2009 |
Lecture: Short presentations by students. Homework (HW #5: due 9/23): Jackson 2.4. |
| Wed. Sep. 16, 2009 |
Lecture:
Problem of Sphere with constant charge.
Problem of Sphere with constant potential.
Method of Integral Relation of Chapter 1.
Introduction to Function Spaces. Function Expansions. Fourier Series. Homework (HW #5: due 9/23): Jackson 2.7. |
| Fri. Sep. 18, 2009 |
Lecture: Fourier Series and Fourier Transforms.
Separation of Variables solution for Boundary Value Problems.
The case of rectangular coordinates. Homework (HW #5: due 9/23): Jackson 2.23. |
| Mon. Sep. 21, 2009 |
Lecture: Solution of the Laplace Equation.
Separation of Variables in Cylindrical Coordinates.
Separation of Variables in Spherical Coordinates. Homework (HW #6: due 9/30): Jackson 2.12. |
| Wed. Sep. 23, 2009 |
Lecture: Separation of Variables in Spherical Coordinates,
continued. The case of azimulthal symmetry (m=0). Homework (HW #6: due 9/30): Jackson 3.3. |
| Fri. Sep. 25, 2009 |
Lecture: Separation of Variables in Spherical Coordinates,
continued. The general case (m ≠ 0). Expansion of 1/|x - x′|. Homework (HW #6: due 9/30): Jackson 3.4. |
| Mon. Sep. 28, 2009 |
Lecture: The Addition Theorem. Separation of Variables in Cylindrical
Coordinates. Bessel Functions. Homework (HW #7: due 10/7): Jackson 3.10. |
| Wed. Sep. 30, 2009 |
Lecture: Multipole expansion of potential. Electric Field due to a dipole. Homework (HW #7: due 10/7): Jackson 4.1. |
| Fri. Oct. 2, 2009 |
Lecture: Volume integral of Electric Field due to sources inside and
outside a sphere. Homework (HW #7: due 10/7): Jackson 4.4. |
| Mon. Oct. 5, 2009 |
Test #1 covers Jackson Chapters 1, 2, 3. Homework (HW #8: due 10/14): Jackson 4.5. |
| Wed. Oct. 7, 2009 |
Lecture: Multipole expansion of electrostatic energy of a charge
distribution. Homework (HW #8: due 10/14): Jackson 4.7. |
| Fri. Oct. 9, 2009 |
Lecture: No class. Fall Break. Homework: None. |
| Mon. Oct. 12, 2009 |
Lecture: More Boundary value problems. Homework (HW #9: due 10/21): Consider a very long conducting cylinder of radius a immersed in a uniform electric field E0i oriented perpendicular to the cylinder axis which is the same as the z-axis. Find the potential, the components of the electric field outside the cylinder in cylindrical coordinates and the surface charge density for the cases (a) when the cylinder is initially uncharged and (b) when the cylinder carries a uniform surface charge density characterized by a charge per unit length λ. |
| Wed. Oct. 14, 2009 |
Lecture: Dielectrics: effective charge densities (surface & volume),
displacement and polarization, boundary conditions. Homework (HW #9: due 10/21): this problem . |
| Fri. Oct. 16, 2009 |
Lecture: Energy density of fields inside Dielectrics. Langevin
equation for polar molecules. Simple model for molecular
polarizability. A relation between the bulk susceptibility and the
molecular polarizability: the Claussius-Mossotti equation. Homework (HW #9: due 10/21): None. |
| Mon. Oct. 19, 2009 |
Lecture: Boundary Value problems involving Dielectrics. Homework (HW #10: due 10/28): Jackson 4.8. |
| Wed. Oct. 21, 2009 |
Lecture: The law of Conservation of Charge. Currents and current
densities. The law of Biot & Savart. The Lorentz Force Law. Force
between two current loops. Homework (HW #10: due 10/28): Jackson 5.2. |
| Fri. Oct. 23, 2009 |
Lecture: Maxwell Equations for Magnetostatics. Vector Potential. Gauge
Freedom. The Coulomb Gauge. Homework (HW #10: due 10/28): Jackson 5.6. |
| Mon. Oct. 26, 2009 |
Lecture: Multipole expansion of the Vector Potential. The Dipole
Term. Homework (HW #11: due 11/4): Jackson 5.13. |
| Wed. Oct. 28, 2009 |
Lecture: The magnetic dipole moment and dipole field. Homework (HW #11: due 11/4): Jackson 5.8. |
| Fri. Oct. 30, 2009 |
Lecture 1: Review of Multipoles. Homework (HW #11: due 11/4): No Homework. |
| Fri. Oct. 30, 2009 |
Lecture 2: Review of Dielectrics, Magnetostatics. Homework (HW #11: due 11/4): No Homework. |
| Mon. Nov. 2, 2009 |
Test #2 covers Multipoles, Dielectrics, Basic Magnetostatics. [Chapter
4, and sections 5.1, 5.2, 5.3, 5.4.] Homework (HW #12: due 11/11): None. |
| Wed. Nov. 4, 2009 |
Lecture: The Force and Torque on a localized current distribution due
to an external Magnetic Field. Homework (HW #12: due 11/11): Jackson 5.21. |
| Fri. Nov. 6, 2009 |
Lecture: Para-, Dia-, and Ferro-magnetic materials. Volume and Surface
bound current densities. Hysterisis. Homework (HW #12: due 11/11): this problem . |
| Mon. Nov. 9, 2009 |
Lecture: Boundary conditions and use of Magnetic Scalar & Vector
Potentials in Magnetostatic Problems. Homework (HW #13: due 11/18): Jackson 5.16. |
| Wed. Nov. 11, 2009 |
Lecture: Michael Faraday and Faraday's Law and Lenz's
Law. Mutual- and Self-Inductance. Energy in an inductor. Energy
Density of a Magnetic Field. Homework (HW #13: due 11/18): Jackson 5.30. |
| Fri. Nov. 13, 2009 |
No Lecture: Preponed to Aug. 25. Homework (HW #13: due 11/18): None. |
| Mon. Nov. 16, 2009 |
Lecture: Maxwell's change of Ampere's Law. Gauge Invariance, Fields
and Potentials. The Coulomb and Lorenz Gauges. Decoupled differential
equations for the potentials. Homework (HW #14: due 12/2): this problem. |
| Wed. Nov. 18, 2009 |
Lecture: Solving the equations of electrodynamics: step 1. Homework (HW #14: due 12/2): None. |
| Fri. Nov. 20, 2009 |
No Lecture: Preponed to Oct. 30. Homework (HW #14: due 12/2): None. |
| Mon. Nov. 23, 2009 |
Lecture: Solution of the Wave Equation for Potentials using the Green
Function Method. Homework (HW #15: due 12/2): this problem. |
| Wed. Nov. 25, 2009 |
Lecture: No class. Thanksgiving Break. Homework: None. |
| Fri. Nov. 27, 2009 |
Lecture: No class. Thanksgiving Break. Homework: None. |
| Mon. Nov. 30, 2009 |
Lecture: Evaluating retarded potentials and fields. The case of a
moving charge. Homework (HW #16: due 12/4): None. |
| Wed. Dec. 2, 2009 |
Lecture: Three problems from Griffiths: 6.24, 6.25, 6.26. Homework (HW #16: due 12/4): None. |
| Fri. Dec. 4, 2009 |
Lecture: Review continued: Griffiths problems 7.55, 7.57, 7.58, 10.21,
10.22. Homework: None. |
| Thu. Dec. 10, 2009 9:00 AM - 12:00 noon | FINAL EXAM: Covers ALL material! |