PHY 218: Electricity and Magnetism II
Prof. S. Teitel email@example.com ---- Spring 2015
My hand written class lecture notes are being scanned and uploaded for you to view. Please be warned that these are the notes I prepare for myself to lecture from - they are not in general carefully prepared for others to read. I make no guarantees about their legibility, or that they are totally free of errors. I hope, nevertheless that you will find them useful. The lectures are uploaded as pdf files, so you will need Adobe Acrobat Reader in order to read them. You can download Acrobat Reader for free here.
The lecture note files correspond roughly to the material presented in a given day's lecture. But you may on occassion find the end of one day's lecture at the start of the file for the next day's lecture, so please look there if you think there might be something missing.
- Lecture 0 - A brief history of electromagnetism
- Lecture 1 - Review of electro- and magneto- statics, review of Faraday's Law of magnetic induction, work stored in a configuration of steady magnetostatic currents
- Lecture 2 - Mutual and self inductances between current carrying loops. Force between two current carrying loops.
- Lecture 3 - Force between two current carrying loops and the energy stored in a magnetostatic current configuration, Levi-Civita tensor.
- Lecture 4 - Examples, Maxwell's correction to Ampere's Law
- Lecture 5 - Conservation of energy: energy density and energy current (Poynting vector) of electromagnetic fields
- Lecture 6 - Conservation of momentum
- Lecture 7 - Maxwell stress tensor, electromagnetic momentum density and angular momentum density, magnetic monopoles, Dirac's argument for the quantization of charge
- Lecture 8 - Maxwell's equations in potential form, gauge transformations, Coulomb gauge, Lorentz gauge
- Lecture 9 - Electromagnetic waves in a vacuum, solutions to the wave equation, plane waves, spherical waves, simple harmonic wave, Fourier transform
- Lecture 10 - General solution to the homogeneous wave equation, Green's function for the inhomogeneous wave equation, longitudinal, transverse, and circular polarization
- Lecture 11 - Electromagnetic waves in a vacuum, energy and momentum of EM waves in a vacuum, macroscopic Maxwell's equations in matter, wave in a linear material with constant permeability and permeativity
- Lecture 12 - Frequency dependent polarizability, electric susceptibility and permittivity, non-local in time relation between displacement field D and electric field E
- Lecture 13 - Waves in a dielectric, dispersion relation, effects of complex permittivity, phase velocity
- Lecture 14 - Group velocity, wave pulse spreading, normal and anomalous dispersion, real and imaginary parts of the permittivity, real and imaginary parts of the wavenumber, regions of transparent propagation
- Lecture 15 - Waves a dielectric: region of resonant absorption, region of total reflection, waves in a conductor: free current density and free charge density, frequency dependent conductivity
Notes on the Faraday Effect
- Lecture 16 - Waves a conductor, dispersion relation, good and poor conductors, skin depth, plasma frequency, longitudinal modes
- Lecture 17 - Reflection and transmission of waves at an interface, Snell's law, critical angle, total internal reflection
- Lecture 18 - Corrections to Snell's law for a dissipative medium, transmission into a highly absorptive medium, reflected and transmitted field amplitudes, coefficient of reflection, region of total reflection
- Lecture 19 - Reflection between two transparent media, Brewster's angle, Green's function for the wave equation
- Lecture 20 - Radiation from a localized oscillating charge density, expansion for the vector potential, electric dipole term
- Lecture 21 - Magnetic dipole and electric quadrapole terms for radiation, electric and magnetic fields in the electric dipole approximation, radiation zone, Poynting vector and radiated power in the electric dipole approximation
- Lecture 22 - Total radiated power in the electric dipole approximation, why is the sky blue?, magnetic dipole radiation, radiation from an arbitrary time-dependent charge distribution
- Lecture 23 - Larmor's formula for the radiated power of an accelerated charge, radiation-reaction force, radiative decay of a classical atom
Lecture 23 Supplement - The Abraham-Lorentz Equation - we did not cover this in lecture, and you're not responsible for it, but it is interesting so here it is!
- Lecture 24 - Lienard-Wiechert potentials for a moving point charge, potentials and fields for a point charge moving with constant velocity
- Lecture 25 - Special relativity, Lorentz transformation, time dilation, FitzGerald contraction, simultaneity of events, proper time, proper length, 4-vectors
- Lecture 26 - Lorentz transformation matrix, 4-differential, proper time interval, 4-velocity, 4-acceleration, 4-gradient, wave equation operator, 4-current, 4-potential, Maxwell's equations in relativistic potential form, the field strength tensor
- Lecture 27 - Transformation law for E and B fields, the field strength tensor and Maxwell's inhomogeneous equations, the dual field strength tensor and Maxwell's homogeneous equations, 4-momentum, Minkowski force, relativisitc kinetic energy, conservation of energy and momentum
- Lecture 28 - The Lorentz force in relativistic form, the relativisitic generalization of Larmor's formula