| Day of week and Date | Lecture Content and Homework Assignment |
|---|---|
| Fri. Aug. 23, 2013 |
Lecture: Maxwell's equations, Coulomb's Law, Gauss's Law, The Scalar
Potential. Homework (due Aug. 28, 2013): Jackson 1.1, 1.3. Bonus: Prove all the theorems on the inside front cover and facing page of Jackson. |
| Mon. Aug. 26, 2013 |
Lecture: Poisson Equation, Green's Theorem, a "solution" (1.36) to the
Poisson equation. Homework (due Sep. 4, 2013): Jackson 1.11. |
| Wed. Aug. 28, 2013 |
Lecture: Potential due to a surface dipole moment density, Laplace equation, Uniqueness of
solution, Jackson 1.10, the Relaxation method. Homework (due Sep. 4, 2013): Jackson 1.12. |
| Fri. Aug. 30, 2013 |
Lecture: Green functions, Energy in an assembly of charges and in a
continuous distribution of charge. Homework (due Sep. 4, 2013): Jackson 1.14. |
| Wed. Sep. 4, 2013 |
Lecture: Energy density, Capacitance. Introduction to the Method of Images. Homework (due Sep. 11, 2013): Jackson 1.15. |
| Fri. Sep. 6, 2013 |
Lecture: The Method of Images applied to a point charge near a
conducting plane and near a conducting sphere. Homework (due Sep. 11, 2013): Jackson 2.1. |
| Mon. Sep. 9, 2013 |
Lecture: The Method of Images: potential on a sphere and similar
problems. The Green function for a sphere. Extension to the case of a
charged sphere with a given potential and / or a given charge. Homework (due Sep. 18, 2013): Jackson 2.2. |
| Wed. Sep. 11, 2013 |
Lecture: Conducting sphere placed in a uniform electric
field. Introduction to orthogonal functions and expansions. Homework (due Sep. 18, 2013): Jackson 2.7. |
| Fri. Sep. 13, 2013 |
Lecture: Orthogonal functions and expansions. The method of separation
of variables applied to the Laplace equation. Homework (due Sep. 18, 2013): Jackson 2.23. |
| Mon. Sep. 16, 2013 |
Lecture: Orthogonal functions, expansions, and solutions to the
Laplace equation in polar coordinates. Homework (due Sep. 25, 2013): Jackson 2.26. |
| Wed. Sep. 18, 2013 |
Lecture: Orthogonal functions, expansions, and solutions to the
Laplace equation in spherical coordinates. The case of azimuthal
symmetry. Homework (due Sep. 25, 2013): Jackson 3.2. |
| Fri. Sep. 20, 2013 |
Class Test #1: Based on everything covered in class and homework up to and
including on Fri., Sep. 13, 2013. Homework (due Sep. 25, 2013): Jackson 3.4. |
| Mon. Sep. 23, 2013 |
Lecture: Electrostatic problems in spherical coordinates, continued.
The Laplace equation in cylindrical coordinates. Homework (due Oct. 2, 2013): Jackson 3.6. |
| Wed. Sep. 25, 2013 |
Lecture: Electrostatic problems using the method of separation
of variables in cylindrical coordinates. Homework (due Oct. 2, 2013): Jackson 3.9. |
| Fri. Sep. 27, 2013 |
Lecture: Discussion of homework problems. Introduction to the Multipole Expansion. Homework (due Oct. 2, 2013): Griffiths 4.29. |
| Mon. Sep. 30, 2013 |
Lecture: The Multipole Expansion: introduction. Homework (due Oct. 9, 2013):
|
| Wed. Oct. 2, 2013 |
Lecture: The Multipole Expansion, continued. Energy of a charge
distribution in an external electric field. Homework (due Oct. 9, 2013): Jackson 4.1. |
| Fri. Oct. 4, 2013 |
Lecture: Introduction to Dielectrics. The displacement field. Permittivity, Susceptibility, and Polarizability. Linear dielectrics. D and E in a permanent dielectic. Homework (due Oct. 9, 2013): Jackson 4.6. |
| Mon. Oct. 7, 2013 |
Lecture: Boundary value problems with dielectrics. Polarization of a
sphere placed in an electric field. Homework (due Oct. 16, 2013): Jackson 4.10. |
| Wed. Oct. 9, 2013 |
Lecture: Models of polarizability, field energy in a dielectric. Homework (due Oct. 16, 2013): A small electrically neutral dielectric sphere is placed near a charge Q. Is the sphere attraced or repulsed? What is the force on it as a function of distance r from the charge? [This is a model of what happens when a glass rod is rubbed on silk, becomes positively charged, and is then brought close to a small piece of paper.] |
| Fri. Oct. 11, 2013 |
Lecture: Polarizability of a solid dielectric, concluded. Introduction
to Magnetostatics: no evidence for magnetic charges, the Law of Biot
and Savart. Homework (due Oct. 16, 2013): Current I flows in a square loop of side a. Assume that the loop lies in the x-y plane, is centered at the origin, and has sides parallel to the x- and y-axes. Use the Law of Biot and Savart to find the magnetic field at points in the x-y plane and inside the loop. |
| Mon. Oct. 14, 2013 |
Lecture: Introduction to Magnetostatics: the Lorentz Force Law, the
Maxwell equations for B. Gauge invariance, the Coulomb
gauge and a solution for the vector potential. Homework (due Oct. 23, 2013): Jackson 5.1. |
| Wed. Oct. 16, 2013 |
Lecture: The field of a circular loop. The multipole expansion of the
vector potential. Homework (due Oct. 23, 2013): No homework. |
| Mon. Oct. 21, 2013 |
Lecture: The multipole expansion of the vector potential,
continued. Homework (due Oct. 30, 2013): Jackson 5.4. |
| Wed. Oct. 23, 2013 |
Lecture: Magnetic moment of a charged particle in motion, and due to
its spin. The gyromagnetic ratio and the gyromagnetic anomaly. Force
on, Torque on, Energy of a localized current
distribution in an external magnetic field. Magnetized materials,
bound volume and surface current densities, and the field H. Homework (due Oct. 30, 2013): Jackson 5.13. |
| Fri. Oct. 25, 2013 |
Lecture: Magnetic materials: dia-, para- and ferro-magnetism. Boundary
conditions on B and H. Homework (due Oct. 30, 2013): Jackson 5.22. |
| Mon. Oct. 28, 2013 |
Class Test #2: Based on everything covered in class and homework up to
and including on Wed., Oct. 16, 2013. Homework (due Nov. 6, 2013): No homework. |
| Wed. Oct. 30, 2013 |
Lecture: Boundary value problems in magnetostatics. Michael Faraday. Homework (due Nov. 6, 2013): Jackson 5.31. |
| Fri. Nov. 1, 2013 |
Lecture: Faraday's Law. Homework (due Nov. 6, 2013): A current I flows along the z-axis in the direction of positive z. A rectangular loop lies in the x-z plane, with sides of length a parallel to the x-axis, and of length b parallel to the z-axis, and the closest point on the loop to the z-axis is at +x. What is the induced emf in the loop at the instant that the loop is moving away from the z-axis at speed v? |
| Mon. Nov. 4, 2013 |
Lecture: Inductance and mutual inductance. Energy in magnetic fields and current
loops. Maxwell's modification of Ampere's Law. Modification of
expression for the electric field in terms of potentials. Source equations for
potentials. Homework (due Nov. 13, 2013): Jackson 5.30. |
| Wed. Nov. 6, 2013 |
Lecture: Wave equations for potentials in the Lorenz gauge, and their
solutions: the retarded potentials. Homework (due Nov. 13, 2013): Griffiths 10.9. |
| Fri. Nov. 8, 2013 |
Lecture: Retarded potentials for stationary sources and moving
sources. Retarded potentials for a moving point charge. Retarded time
for a point charge in uniform motion. Homework (due Nov. 13, 2013): Griffiths 10.14. What happens to the scalar potential when the angle is 90 degrees? |
| Mon. Nov. 11, 2013 |
Lecture: Electromagnetic waves: the wave equation, plane waves, and their polarization. Homework (due Nov. 20, 2013): Griffiths 9.10. |
| Wed. Nov. 13, 2013 |
Lecture: Reflection and Transmission of Electromagnetic Plane Waves at a
Boundary. Homework (due Nov. 20, 2013): Obtain the boundary conditions described by equations (7.40) and use them to deduce equations (7.41) and (7.42). |
| Fri. Nov. 15, 2013 |
Class Test #3: Based on everything covered in class and homework up to
and including on Fri., Nov. 8, 2013. Homework (due Nov. 20, 2013): No homework. |
| Mon. Nov. 18, 2013 |
Lecture: Response of media to electromagnetic waves as a function of
frequency. Homework (due Monday Nov. 25, 2013): Jackson 7.4. |
| Wed. Nov. 20, 2013 |
Lecture: High frequency behavior of metals and plasmas. Group and phase velocity of waves. Homework (due Monday Nov. 25, 2013): Jackson 7.13. |
| Fri. Nov. 22, 2013 |
Lecture: Introduction to Waveguides. Homework (due Monday Nov. 25, 2013): TEM Waves: Just before equation (8.27) Jackson states that "There are three main consequences." State and prove these three consequences. [Jackson states them, but the statements are spread out over the following lines. Please begin by writing out the three as problem sections (a), (b), and (c) of your homework. Then prove each.] |
| Mon. Nov. 25, 2013 |
Lecture: Waveguides continued: Rectangular waveguide solutions. Homework (due Monday Dec. 2, 2013): Jackson 8.4a. |
| Mon. Dec. 2, 2013 |
Lecture: Radiation from oscillating sources, the electric dipole
approximation. Homework (due Friday Dec. 6, 2013): Jackson 9.1. |
| Wed. Dec. 4, 2013 |
Lecture: E1 radiation: Electric and magnetic fields in the radiation
zone; total and differential radiated power. The Larmor formula. Homework (due Friday Dec. 6, 2013): Jackson 9.3. |
| Fri. Dec. 6, 2013 |
Lecture: M1 radiation. Solutions to a couple of radiation problems. Homework: No homework. |
| Wed. Dec. 11, 2013 9:00 AM - 11:30 AM | FINAL EXAM: Covers ALL material! |