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PHY 218: Electricity and Magnetism II
Prof. S. Teitel stte@pas.rochester.edu  Spring 2016
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
 Lecture 2  Magnetic induction continued, Faraday's Law, Lenz' Law, review of magnetostatics and BiotSavart Law
 Lecture 3  LeviCivita tensor, mutual and self inductance, LR circuit
 Lecture 4  Force between two current carrying loops and the energy stored in a magnetostatic current configuration
 Lecture 5  Examples
 Lecture 6  More examples, Maxwell's correction to Ampere's Law, conservation of energy in presence of electromagnetic fields
 Lecture 7 Electromagnetic energy density and energy current (Poynting vector) of electromagnetic fields
 Lecture 8  Conservation of momentum, Maxwell stress tensor, electromagnetic momentum density and angular momentum density, magnetic monopoles, Maxwell's equations in potential form
 Lecture 9  Maxwell's equations in potential form, gauge transformations, Coulomb gauge, Lorentz gauge, electromagnetic waves in a vacuum
 Lecture 10  Solutions to the wave equation, plane waves, spherical waves, simple harmonic wave, Fourier transform
 Lecture 11  General solution to the homogeneous wave equation, Green's function for the inhomogeneous wave equation, longitudinal, transverse, and circular polarization
 Lecture 12  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 13  Frequency dependent polarizability, electric susceptibility and permittivity, nonlocal in time relation between displacement field D and electric field E
 Lecture 14  Waves in a dielectric, dispersion relation, effects of complex permittivity, phase velocity, group velocity, normal and anomalous dispersion
 Lecture 15  Wave pulse spreading, real and imaginary parts of the permittivity, real and imaginary parts of the wavenumber, regions of transparent propagation, resonant absorption, and total reflection
 Lecture 16  Waves in a conductor: free current density and free charge density, frequency dependent conductivity, dispersion relation, good and poor conductors, skin depth
 Lecture 17  Plasma frequency, longitudinal modes, reflection and transmission of waves at an interface
 Lecture 18  Reflection and transmission continued: Snell's law, critical angle, total internal reflection, corrections to Snell's law for a dissipative medium, transmission into a highly absorptive medium
 Lecture 19  Reflected and transmitted field amplitudes, coefficient of reflection, region of total reflection, reflection between two transparent media, Brewster's angle, Green's function for the wave equation
 Lecture 20  Green's function for the wave equation, radiation from a localized oscillating charge density, expansion for the vector potential
 Lecture 21  Electric dipole, magnetic dipole and electric quadrapole terms for radiation, magnetic fields in the electric dipole approximation, radiation zone
Review of magnetic dipole approximation in magnetostactics
 Lecture 22  Electirc field, Poynting vector and radiated power in the electric dipole approximation, why is the sky blue?, magnetic dipole radiation
 Lecture 23  Radiation from an arbitrary timedependent charge distribution, Larmor's formula for the radiated power of an accelerated charge, radiationreaction force, radiative decay of a classical atom
 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
 Lecture 26  4vectors, Lorentz transformation matrix, 4differential, proper time interval, 4velocity, 4acceleration, 4gradient, wave equation operator, 4current, 4potential, the field strength tensor, transformation law for E and B fields
 Lecture 27 Maxwell's equations in relativistic form, 4momentum, Minkowski force, relativisitc kinetic energy, conservation of energy and momentum, the Lorentz force in relativistic form
 Lecture 28  The relativisitic generalization of Larmor's formula

