Classes are on M W F 9:00-9:50 in Lewis Room
228
Classes:
- 08/25/2008 - Structure and properties of Maxwell equations. Solution of
Maxwell equations for electrostatics. Potential. Poisson equation. Dirac delta
function. [Jackson Sects. 1.1, 1.2, 1.4, 1.5, 1.7].
- 08/27/2008 - Green's function. More on Dirac delta function and Poisson equation.
[Jackson Sects. 1.2, 1.7].
- 08/29/2008 - Examples of charge density distributions. Integral form of Gauss' law.
[Jackson Sects. 1.3].
- 09/03/2008 - Electric field across a boundary. Potential energy. Capacitance. [Jackson Sects. 1.3, 1.11]
- 09/05/2008 - Dipole layer. Green's theorem. Boundary-value problem, Dirichlet and
Neumann boundary conditions. [Jackson Sects. 1.6, 1.8-1.10].
- 09/08/2008 - Green's function for the plane. Mean-value theorem.
Solutions of two-dimensional Laplace equation vith complex functions. [Jackson Sect. 1.10].
- 09/10/2008 - Method of images. Point charge in presence of a grounded conducting sphere. Green's function for the sphere. [Jackson 2.1,
2.2, 2.6].
- 09/12/2008 - Potential outside a sphere with fixed surface potential.Conducting sphere with hemispheres at different potentials.
Conducting sphere in an uniform electric field. [Jackson 2.5, 2.7].
- 09/15/2008 - Orthogonal functions and expansions. Solution of Laplace equation in three dimensions. Example of a problem with Fourier expansion
[Jackson 2.8-2.10].
- 09/17/2008 - Solution of Laplace equation in two dimensions with Fourier expansion. Example. Laplace equation in spherical coordinates.
[Jackson 2.10, 3.1].
- 09/19/2008 - Legendre polynomials. Boundary-value problems with azimuthal symmetry. Series expansion of the Green's function for a point charge.
Circular ring of radius a. [Jackson 3.2, 3.3].
- 09/22/2008 - Potential for a conical hole or a sharp point. Legendre functions. Spherical harmonics. Expansion of Green's function for a single charge
with spherical harmonics. Examples. [Jackson 3.5, 3.6].
- 09/24/2008 - Green's function for the sphere with spherical harmonics. Green's function for two concentric spheres. [Jackson 3.6, 3.9, 3.10].
- 09/29/2008 - Problems with spherical harmonics. Cylindrical coordinates. [Jackson 3.7, 3.10].
- 10/01/2008 - Boundary problems in cylindrical coordinates. Eigenfunction expansions for Green function. [Jackson 3.8, 3.12].
- 10/03/2008 - Multipole expansion: General, monopole, dipole and quadrupole terms. [Jackson 4.1].
- 10/06/2008 - More on multipoles. Field and energy. Energy of two coupled dipoles. [Jackson 4.1, 4.2].
- 10/08/2008 - Macroscopic Maxwell equations. Electric polarization. Polarization surface density. [Jackson 4.2, 4.3, 6.6 (Electrostatic
case)].
- 10/10/2008 - More on polarization. Susceptibility. Molecular polarization. [Jackson 4.3, 4.5].
- 10/15/2008 - Electrostatic energy in dielectrics. Simple model of polarizability. [Jackson 4.4, 4.7].
- 10/17/2008 - Correction of mid-tern test.
- 10/20/2008 - Boundary-value problems with dielectrics. [Jackson 4.4].
- 10/22/2008 - Boundary-value problems with dielectrics (follow-up). Differential equations for magnetostatics, vector potential,
[Jackson 4.4, 5.4].
- 10/24/2008 - Biot-Savart law, Ampère law. Force on charges and straight wires. [Jackson 4.4, 5.1-5.3].
- 10/27/2008 - Circular current loop. Multipole expansion for the magnetic field. Localized current
distributions. [Jackson 5.5-5.6].
- 10/29/2008 - More on magnetic dipole field. Intrinsic magnetic moment of particles. Force and torque in external magnetic fields.
[Jackson 5.6-5.7].
- 10/31/2008 - Macroscopic equations for magnetostatics. Boundary conditions for B and H. Boundary-value problems in magnetostatics.
[Jackson 5.8, 5.9].
- 11/03/2008 - Energy of the magnetic field. Diamagnetic and paramagnetic materials. [Jackson 5.8, 5.16]
- 11/05/2008 - Curie law. Ferromagnetic materials.
- 11/07/2008 - Dielectric sphere in an external magnetic field. [Jackson 5.10, 5.11].
- 11/10/2008 - Magnetic shielding. Self and mutual inductances. Quasi-static fields. [Jackson 5.12, 5.17, 5.18].
- 11/10/2008 - Faraday's law. Gauges. [Jackson 5.15, 6.1, 6.2].
- 11/14/2008 - More on Gauges. Magnetic Monopoles [Jackson 6.3, 6.11].
- 11/17/2008 - Discrete symmetries of the EM field. Energy of the EM field. Poynting vector. [Jackson 6.7-6.10].
- 11/19/2008 - Energy, momentum and angular momentum of the EM field. [Jackson 6.7-6.9].
Next class:
- 11/21/2008 - Review Part I.
