Class Diary for PHY 6346

 Date Notes
W 8/23 Discussed course policies, grading, etc.
F 8/25 Assessment test. Started electrostatics-Coulomb's law, SI units.
M 8/28 Definition of the electric field. Properties of the Dirac delta function. Electric field of a charged rod.
W 8/30 Finished electric field of a charged rod. Gauss's Law in integral and differential form. Comments on applications of Gauss's Law in integral form.
F 9/1 Electrostatic potential. Lines of force and equipotential surfaces. Fields and potentials for simple charge distributions-point charge, dipole, line charge, sheet charge. Problem Set 1 due.
M 9/4 Labor Day (no class)
W 9/6 Returned HW1. Boundary conditions on the electric field. Surface distributions of charge and dipoles. Review of the properties of conductors. Introduction to Poisson's and Laplace's equations.
F 9/8 Electrostatic energy. Green's first identity, uniqueness of solutons to Poisson's equation. Green's second identity. Problem Set 2 due.
M 9/11 Formal solution of Poisson's equation. Green's function for Dirichlet boundary conditions. Started method of images-point charge in front of a grounded conducting plane.
W 9/13 Finished method of images for the infinite conducting sheet. Discussed the method of images for the conducting sphere.
F 9/15 Finished images for the sphere. Green's function for the sphere. Started separation of variables for rectangular coordinates. Problem Set 3 due.
M 9/18 Finished two-dimensional ``trough'' example. Summation of a series. Separation of variables in three dimensions-box with sides at different potentials.
W 9/20 Separation of variables in polar coordinates. Solved problem of the grounded conducting cylinder in a uniform electric field. Started Fourier series.
F 9/22 Complex Fourier series. Fourier transforms with examples. Problem Set 4 due.
M 9/25 Orthogonal functions, completeness. Started discussing complex variable methods. Analytic functions.
W 9/27 Cauchy-Riemann equations. Simple applications of complex variable methods to electrostatics.
F 9/29 First hour exam
M 10/2 Reviewed first exam. More applications of complex variables---the grounded semi-infinite conducting sheet.
W 10/4 Complex variable methods-charged conducting strip. Started separation of variables in spherical coordinates.
F 10/6 Solution of the azimuthal and radial equations. Legendre's equation. Series solution of Legendre's equation. Problem Set 5 due.
M 10/9 Properties of Legendre polynomials. Solution of electrostatics problems with azimuthal symmetry.
W 10/11 More examples with azimuthal symmetry. Problems without azimuthal symmetry-associated Legendre functions.
F 10/13 Spherical harmonics and some of their properties. Example-potential prescribed on a sphere. Addition theorem. Problem Set 6 due.
M 10/16 Separation of variables in cylindrical coordinates. Bessel's equation and Bessel functions. Some properties of Bessel functions.
W 10/18 More properties of Bessel functions. Example: potential inside a hollow cylinder.
F 10/20 Eigenfunction expansion for Green's functions. Problem Set 7 due.
M 10/23 Spherical multipole expansion. Cartesian multipoles. Quadrupole moment tensor.
W 10/25 More on multipoles. Expansion of the energy in multipoles. Started electrostatics in dielectric (``ponderable'') media.
F 10/27 Equations of electrostatics in dielectric media. Boundary conditions. Started discussing the point charge in front of an interface between two dielectrics.
M 10/30 Boundary value problems in dielectrics. Point charge in front of a planar dielectric interface. Dielectric sphere in a uniform electric field. Problem Set 8 due.
W 11/1 Electrostatic energy in dielectrics. Dipole-dipole interaction. Induced dipole moments and van der Waals interaction.
F 11/3 Second hour exam
M 11/6 Review of exam. Started discussion of microscopic models of dielectrics.
W 11/8 Clausius-Mosotti relation. Current density. Equation of continuity. Ohm's law for conductors.
F 11/10 Veteran's Day (no class). Problem Set 9 due.
M 11/13 Biot-Savart law. Forces between current-carrying wires. Showed that div B = 0 from Biot-Savart law.
W 11/15 Ampere's law in differential and integral form. Vector potential.
F 11/17 Vector potential for the current loop in terms of elliptic integrals. Problem Set 10 due.
M 11/20 Magnetic dipoles. Dipole moment of a planar current loop. Force on a dipole in an external magnetic field.
W 11/22 Torque on a magnetic dipole. Macroscopic magnetostatics. Low brow derivation of the equations for B and H. Boundary conditions.
F 11/24 Thanksgiving break (no class) 
M 11/27 Boundary value problems in magnetostatics. Fields produced by a uniformly magnetized sphere.
W 11/29 Faraday's law, nonrelativisitic transformation of fields. Maxwell's equations.
F 12/1 Course evaluation. Energy in the magnetic field. Self and mutual inductance. Started discussing eddy currents. Problem Set 11 due.
M 12/4 Skin effect in conductors. Conservation laws. Started derivation of Poynting's theorem.
W 12/6 Poynting's theorem. Conservation of momentum and the stress-energy tensor.
Th 12/14 Final Exam 9am-12 noon