| Day of week and Date | Lecture Content and Homework Assignment |
|---|---|
| Fri. Aug. 19, 2011 |
Lecture: Random walk through undergraduate E&M, including vector
calculus. Homework (HW #1: due 8/22): Prove all the formulas and theorems on the inside front cover of Jackson and its facing page. |
| Mon. Aug. 22, 2011 |
Lecture: The electric potential. Potential due to a surface dipole moment
density. Homework (HW #2: due 8/31): Jackson 1.3. |
| Wed. Aug. 24, 2011 |
Lecture: The Poisson Equation and its solution via the Green Function
method. Formal properties of the solutions. Homework: None. |
| Fri. Aug. 26, 2011 |
Lecture: Examination of the potential outside a charged conducting
sphere using Jackson's Equation (1.36). Homework (HW #2: due 8/31): Jackson 1.10. |
| Mon. Aug. 29, 2011 |
Lecture: Formal solution of the Poisson equation for different
boundary conditions. Electrostatic energy in a system of charges. Homework (HW #3: due 9/7): Jackson 1.14. |
| Wed. Aug. 31, 2011 |
Lecture: Energy density in an electric field. Outward pressure on a
conductor, including a discussion of the factor of 1/2. Capacitance
and mutual capacitance. Capacitance of a sphere. Radius of an
electron. Variational principle. Homework (HW #3: due 9/7): Jackson 1.6. |
| Fri. Sep. 2, 2011 |
Lecture: Variational principle continued: connection to the Poisson
equation and as a practical method of solving electrostatic
problems. The Method of Images. Homework (HW #3: due 9/7): Jackson 1.17, 1.19, 2.2. |
| Wed. Sep. 7, 2011 |
Lecture: The Method of Images continued: a charge placed near an
insulated, charged sphere and near a sphere held at a non-zero
potential. Where does the induced charge go? What does the electric
field look like? Homework (HW #4: due 9/14): Jackson 2.4. |
| Fri. Sep. 9, 2011 |
Lecture: Conducting sphere placed in a uniform electric field. Homework (HW #4: due 9/14): Jackson 2.3. |
| Mon. Sep. 12, 2011 |
Test #1. Covers everything up to and including the lecture on Fri., Sep. 2. Homework (HW #5: due 9/21): Jackson 2.1. |
| Wed. Sep. 14, 2011 |
Lecture: Generalized Fourier series and basis functions. Solving the
Laplace equation using separation of variables in Cartesian
coordinates. Homework (HW #5: due 9/21): None. |
| Fri. Sep. 16, 2011 |
Lecture: Solving the
Laplace equation using separation of variables in Cartesian
coordinates, continued. The case of cylindrical coordinates with no
z-dependence. Homework (HW #5: due 9/21): Griffiths 3.14. |
| Mon. Sep. 19, 2011 |
Lecture: Cylindrical coordinates, concluded. The Laplace equation in spherical coordinates. Homework (HW #6: due 9/28): Jackson 2.13. |
| Tue. Sep. 20, 2011 | Physics Dept. Conf. Room (inside 4th Floor
Office) Lecture: Spherical coordinates, continued. Spherical harmonics and properties. Solving problems with azimuthal symmetry. Homework (HW #6: due 9/28): Jackson 3.2. |
| Wed. Sep. 21, 2011 |
Lecture: Discussion of some Jackson problems. Homework (HW #6: due 9/28): Jackson 3.3. |
| Fri. Sep. 23, 2011 |
Lecture: Expansion of 1/|x - x′|. The
Addition Theorem for Spherical Harmonics. Homework (HW #6: due 9/28): Jackson 3.7. |
| Mon. Sep. 26, 2011 |
Lecture: The Laplace equation in Cylindrical coordinates. Homework (HW #7: due 10/5): Jackson 3.9. |
| Wed. Sep. 28, 2011 |
Lecture: Expansion of potential in terms of spherical multipole
moments. Connection to Cartesian moments. Properties under rotations. Homework (HW #7: due 10/5): Jackson 4.1. |
| Fri. Sep. 30, 2011 |
Lecture: Multipole description of the potential at large distances in
Cartesian coordinates. The electric field of a dipole. Homework (HW #7: due 10/5): Jackson 4.7 parts (a) and (b). |
| Mon. Oct. 3, 2011 |
Lecture: The integral of the electric field in a spherical volume. Homework (HW #8: due 10/12): Jackson 4.4. |
| Wed. Oct. 5, 2011 |
Lecture: Electric Field of a dipole, continued. Torque and Force on a
dipole. Homework (HW #8: due 10/12): None. |
| Fri. Oct. 7, 2011 |
Lecture: Energy of a charge distribution in an external
field. Homework (HW #8: due 10/12): Jackson 4.7 (c). |
| Mon. Oct. 10, 2011 |
Test #2. Covers everything up to and including the lecture on Fri., Sep. 30. Homework (HW #9: due 10/19): None. |
| Wed. Oct. 12, 2011 |
Lecture: Introduction to dielectrics. Bound surface and volume charge
densities. Definitions of susceptibility, polarizability, permittivity
and dielectric constant. Maxwell equations for electrostatics of
dielectrics. Homework (HW #9: due 10/19): Jackson 4.8. |
| Fri. Oct. 14, 2011 |
Lecture: Boundary conditions for field components at dielectric
boundaries. Linear dielectrics. Homework (HW #9: due 10/19): this problem. |
| Mon. Oct. 17, 2011 |
Lecture: Two dielectric problem solution methods: the method of images
and separation of variables. Homework (HW #10: due 10/26): Jackson 4.9. |
| Wed. Oct. 19, 2011 |
Lecture: Problem of a sphere in a uniform field,
completed. Polarization of liquid (such as water) with polar molecules. Homework (HW #10: due 10/26): Jackson 4.10. |
| Mon. Oct. 24, 2011 |
Lecture: Susceptibility of polar and non-polar materials. Energy
density in fields in a dielectric. Homework (HW #11: due 11/2): Jackson 4.12. |
| Wed. Oct. 26, 2011 |
Lecture: Introduction to magnetostatics: absence of magnetic charges,
the Law of Biot and Savart, the Lorentz Force Law. Homework (HW #11: due 11/2): Jackson 5.1. |
| Fri. Oct. 28, 2011 |
Lecture: The Maxwell Equations for magnetostatics. The vector
potential. Gauge freedom of the vector potential. Homework (HW #11: due 11/2): Griffiths 5.53. |
| Mon. Oct. 31, 2011 |
Lecture: Distant field due to a localized current
distribution. Magnetization, magnetic dipole moment. Homework (HW #12: due 11/11): Jackson 5.3. |
| Wed. Nov. 2, 2011 |
Lecture: Field due to a magnetic dipole. Integral of magnetic field in
a sphere. Homework (HW #12: due 11/11): None. |
| Fri. Nov. 4, 2011 |
Lecture: Force, Torque and Energy for a current distribution in a
magnetic field. Homework (HW #12: due 11/11): Jackson 5.11. |
| Mon. Nov. 7, 2011 |
Test #3. Covers everything up to and including the lecture on Fri., Oct. 28. |
| Wed. Nov. 9, 2011 |
Lecture: Preponed to 9/20/11 |
| Fri. Nov. 11, 2011 |
Lecture: Magnetic materials. Bound current densities. The H
field. Boundary conditions using B, H fields. Homework (HW #13: due 11/16): Jackson 5.15. |
| Mon. Nov. 14, 2011 |
Lecture: The H and B fields in a uniformly magnetized sphere using the
magnetic vector potential. Homework: None. |
| Wed. Nov. 16, 2011 |
Lecture: The H and B fields in a uniformly magnetized sphere using the
magnetic scalar potential. Faraday's Law. Homework (HW #14: due 11/28): Jackson 5.13. |
| Fri. Nov. 18, 2011 |
Lecture: Energy in a magnetic field. Maxwell's contribution to
Ampere's Law. Equations for the vector and scalar potentials in the
Lorenz gauge. Homework (HW #14: due 11/28): Jackson 6.1. |
| Mon. Nov. 21, 2011 |
Lecture: Retarded potential solutions to the equations of
electrodynamics. Homework (HW #14: due 11/28): Griffiths 10.18. Hint: Use Griffiths's Eqs. (10.65), (10.66). |
| Mon. Nov. 28, 2011 |
Lecture: The wave equation and elemetary properties of Electromagnetic Radiation. Homework: None. |
| Wed. Nov. 30, 2011 |
Lecture (with audio). Lecture (without audio). Homework: None. |
| Fri. Dec. 2, 2011 |
Lecture: Course review and discussion for Final Exam. Homework: None. |
| Thu. Dec. 8, 2011 9:00 AM - 12:00 noon | FINAL EXAM: Covers ALL material! |