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PHY 217: Electricity and Magnetism I
Prof. S. Teitel stte@pas.rochester.edu ---- Fall 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 - Coulomb's law, principle of superposition, electric field, volume charge density, surface charge density, line charge density, surface integrals, line integrals

  • Lecture 2 - Review of Cartesian, spherical, and cylindrical coordinate systems, differential displacement, differential volume element, and differential surface element, electric field from a uniformly charged spherical shell

  • Lecture 3 - Electric field from a uniformly charged sphere and from a stright wire segment, review of the gradient operator

  • Lecture 4 - Divergence, curl, Laplacian and 2nd derivatives, differential operators in spherical and cylindrical coordinates, divergence of E for a point charge

  • Lecture 5 - Gauss' Theorem, Stokes' Theorem, field lines, Gauss' Law of electrostatics in integral and differential form, Dirac delta function

  • Lecture 6 - Dirac delta functions, Mawxell's equations for electrostatics, Helmholtz's Theorem

  • Lecture 7 - Solving electrostatic problems using Gauss' Law in integral and differential form, the electrostatic potential

  • Lecture 8 - Examples computing electrostatic potential, boundary conditions on electric field at a surface charge, energy stored in an electrostatic configuration

  • Lecture 9 - Electrostatic energy of continuous charge distributions, self energy vs interaction energy, infinite energy of point charges and the classical electron radius

  • Lecture 10 - Properties of conductors in electrostatics, induced surface charge, cavities, electrostatic pressure on a charged surface

  • Lecture 11 - Electrostatic pressure from virtual work, capacitance, harmonic functions, uniqueness theorems for electrostatic problems

  • Lecture 12 - Image charge method, charge in front of an infinite conducting plane

  • Lecture 13 - Symmetry planes, image charge method for charge in front of a grounded, neutral, and charged conducting sphere, induced surface charge, force between charge and sphere

  • Lecture 14 - Boundary value problems and separation of variables method in Cartesian and shperical coordinates

  • Lecture 15 - Separation of variables method in shperical coordinates continued, Legendre polynomials, dipole field

  • Lecture 16 - Uniformly polarized sphere, conducting sphere in an external uniform electric field, electric field from a uniformly charged disk of finite radius

  • Lecture 17 - Multipole expansion for a localized charge distribution

  • Lecture 18 - Monopole moment, dipole moment vector, and quadrupole mement tensor, dipolar potential and electric field in spherical coordinates and in coordinate free form, effect of choice of origin on dipole and quadrupole moments

  • Lecture 19 - Example of multipole expansion and computation of moments, dielectric materials and atomic polarizability

  • Lecture 20 - Force and torque on an electric dipole, polarization density, bound volume and surface charge densities, electric displacement field D

  • Lecture 21 - Linear dielectrics, electric susceptibility, permitivity, and dielectric constant, boundary conditions at interfaces of dielectrics, capacitance with dielectrics

  • Lecture 22 - Force on dielectrics, Clausius-Mossotti (Lorentz-Lorenz) relation

  • Lecture 23 - Magnetostatics: current density, charge conservation, Biot-Savart Law, Lorentz force, cyclotron orbit, Maxwell's equations for magnetostatics, vector potential, Coulomb gauge

  • Lecture 24 - Correspondance between magnetostatics and electrostatics, calculating B fields from the Biot-Savart Law, force between two current carrying wires, symmetry planes and magnetic fields

  • Lecture 25 - Solving for B using symmetries and Ampere's Law in integral form, boundry conditions crossing a surface current

  • Lecture 26 - Computing A from the integral solution to Poisson's equation, multipole expansion for the magnetic vector potential, magnetic dipole approximation, dipole moment for a piecewise planar current loop

  • Lecture 27 - Force and torque on a magnetic dipole, paramagnetism, diamagnetism and ferromagnetism, magnetization density, bound currents, H field, linear magnetic materials
    Supplement - Notes on the Levi-Civita symbol εijk