Electricity and Magnetism II (PHYS 80001)

• General Information (Syllabus)

1. HW1
2. HW2
3. HW3
4. HW4
5. HW5
6. HW6
7. HW7
8. HW8

• Lecture 1. Summary of the Macroscopic Maxwell Equations. Plane wave solutions I.
• Lecture 2. Plane wave solutions II. Monochromatic plane waves.
• Lecture 3. Polarization. Reflection/refraction at a plane interface.
• Lecture 4. Frequency dispersion characteristics of dielectrics, conductors and plasmas.
• Lecture 5. Superposition of waves in 1D. Pulse spread.
• Lecture 6. Causality between electric field and dielectric displacement. Kramers-Kronig relations.
• Lecture 7. Special theory of relativity I.
• Lecture 8. Special theory of relativity II. Lorentz transformations on kinetic grounds.
• Lecture 9. 4-tensors.
• Lecture 10. 4-calculus. Manifestly covariant form of Maxwell equations in vacuum.
• Lecture 11. Relativistic mechanics and field theory.
• Lecture 12. Charged particle in a field. Equations of motion of a 4-vector field.
• Radiation, non-relativistic.

• Dirac delta function. A refresher.
• Linear partial differential equations of second order. A refresher.
• Complex Analysis Refresher
• Calculus of variations, an introduction.
• The Electromagnetic Spectrum

• Through Einstein's Eyes : Relativistic visual effects explained with movies and images. (The Australian National University)

• Lecture 1. Coulomb's Law. Gauss's Law.
• Lecture 2. Gauss's Law, cont'd. The scalar potential.
• Lecture 3. The scalar potential, cont'd.
• Lecture 4. Surface distributions, discontinuities. Dipole layer.
• Lecture 5. Poisson and Laplace equations. Earnshaw's theorem.
• Lecture 6. Green's identities. Green functions.
• Lecture 7. Green functions cont'd. Conductors
• Lecture 8. Conductors cont'd. Electrostatic potential energy.
• Lecture 9. Electrostatic potential energy cont'd. Energy density.
• Lecture 10. Capacitance. Forces acting on conductors.
• Lecture 11. Forces acting on conductors cont'd. Variational approach.
• Lecture 12. Method of images.
• Lecture 13. Method of images cont'd. Green function for the sphere.
• Lecture 14. Method of separation of variables. Laplace equation in reactangular coordinates
• Lecture 15. 2D problems, fields near corners and edges.
• Lecture 16. Fields near corners and edges cont'd.
• Lecture 17. Laplace equation in spherical coordinates.
• Lecture 18. Legendre polynomials.
• Lecture 19. Boundary value problems with azimuthal symmetry.
• Lecture 20. Associated Legendre functions & spherical harmonics.
• Lecture 21. Expansion of Green functions in spherical coordinates.
• Lecture 22. Multipole expansions.
• Lecture 23. Multipole expansions cont'd. Volume integrals of the electric field.
• Lecture 24. Electrostatics with ponderable media.
• Lecture 25. Boundary value problems with dielectrics.
• Lecture 26. Electrostatic energy in dielectric media.
• Lecture 27. Magnetostatics. Biot-Savart Law.
• Lecture 28. Differential equations of magnetostatics.
• Lecture 29. Recap on currents, line and volumic current distributions. Circular loop.
• Lecture 30. Magnetic fields of localized current distributions.
• Lecture 31. Localized current distributions in an external magnetic field. Macroscopic equations.
• Lecture 32. Susceptibility. Diamagnetic levitation. Boundary conditions.
• Lecture 33. Faraday's Law of Induction.
• Lecture 34. Energy in the magnetic field. Self and mutual inductances.
• Lecture 35. Maxwell Equations.
• Lecture 36. Gauge transformations. Green functions for the wave equation.

• Microscopic origins of diamagnetism. A classical treatment