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PHY 218: Electricity and Magnetism II
Prof. S. Teitel stte@pas.rochester.edu  Spring 2015
Lecture Notes
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, LeviCivita 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, nonlocal 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 timedependent charge distribution
 Lecture 23  Larmor's formula for the radiated power of an accelerated charge, radiationreaction force, radiative decay of a classical atom
Lecture 23 Supplement  The AbrahamLorentz 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  LienardWiechert 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, 4vectors
 Lecture 26  Lorentz transformation matrix, 4differential, proper time interval, 4velocity, 4acceleration, 4gradient, wave equation operator, 4current, 4potential, 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, 4momentum, 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

