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PHY 218: Electricity and Magnetism II
Prof. S. Teitel stte@pas.rochester.edu  Spring 2017
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, electromotive force, electromagnetic induction in a loop moving in a static magnetic field, Faraday's Law, Lenz' Law
 Lecture 2  Magnetic flux, E from a ∂B/∂t, LeviCivita symbol, mutual and self inductance, LR circuit
 Lecture 3  Energy stored in a magnetostatic current configuration and the force between two current carrying loops
 Lecture 4  Examples
 Lecture 5  Maxwell's correction to Ampere's Law, conservation of energy in presence of electromagnetic fields, electromagnetic energy density and electromagnetic energy current (Poynting vector)
 Lecture 6  Conservation of momentum, Maxwell stress tensor, electromagnetic momentum density and angular momentum density, magnetic monopoles
 Lecture 7  Maxwell's equations in potential form, gauge transformations, Coulomb gauge, Lorentz gauge, electromagnetic waves in a vacuum
 Lecture 8  Solutions to the wave equation, plane waves, spherical waves, simple harmonic wave, Fourier transform, general solution to the homogeneous wave equation
 Lecture 9  Green's function for the inhomogeneous wave equation, longitudinal, transverse, and circular polarization, electromagnetic waves in a vacuum, energy and momentum of EM waves in a vacuum, bound current from time varying polarization density
 Lecture 10  Macroscopic Maxwell's equations in matter, wave in a linear material with constant permeability and permeativity, frequency dependent polarizability, electric susceptibility and permittivity, nonlocal in time relation between displacement field D and electric field E
 Lecture 11  Waves in a dielectric, dispersion relation, effects of complex permittivity, phase velocity, group velocity, normal and anomalous dispersion, wave pulse spreading
 Lecture 12  Real and imaginary parts of the permittivity, real and imaginary parts of the wavenumber, regions of transparent propagation, resonant absorption, and total reflection
 Lecture 13  Waves in a conductor, free current density and free charge density, frequency dependent conductivity, dispersion relation, good and poor conductors, skin depth, plasma frequency
Notes on the Faraday Effect
 Lecture 14  Longitudinal modes in a conductor, plasma oscillations, reflection and transmission of waves at an interface, Snell's law, critical angle, total internal reflection
 Lecture 15  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 16  Reflection between two transparent media, Brewster's angle, Green's function for the wave equation
 Lecture 17  Radiation from a localized oscillating charge density, expansion for the vector potential, electric dipole, magnetic dipole and electric quadrapole terms for radiation
 Lecture 18  Relative sizes of dipole and quadrapole terms, electric and magnetic fields in the electric dipole approximation, radiation zone limit, Poynting vector and radiated power in the electric dipole approximation, why is the sky blue?
 Lecture 19  Magnetic dipole radiation, radiation from an arbitrary timedependent charge distribution, Larmor's formula for the radiated power of an accelerated charge
Supplement  Computing the Greens function for the wave equation in real spacetime
 Lecture 20  Radiationreaction force, radiative decay of a classical atom, LienardWiechert potentials for a moving point charge
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 21  Potentials and fields for a point charge moving with constant velocity, and for a charge accelerating
 Lecture 22  Special relativity, Lorentz transformation, time dilation, FitzGerald contraction, simultaneity of events, proper time, proper length
 Lecture 23  4vectors, Lorentz transformation matrix, 4differential, proper time interval, 4velocity, 4acceleration, 4gradient, wave equation operator, 4current, 4potential
 Lecture 24  The field strength tensor F_{μν}, transformation law for E and B fields, Maxwell's equations in relativistic form, energymomentum 4vector, Minkowski force, relativisitc kinetic energy
 Lecture 25  Conservation of energy and momentum, the Lorentz force in relativistic form, the relativisitic generalization of Larmor's formula
 Lecture 26  LienardWiechert potentials in relativistic form, field strength tensor and E and B fields for a charged particle moving on an abritrary trajectory
 Lecture 27  Angular distribution of radiated power from an accelerating charge, nonrelativistic limit, linear motion, circular motion

