PHY 415: Electromagnetic Theory I
Prof. S. Teitel email@example.com ---- Fall 2017
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 - From Coulomb to Maxwell: charge, Coulomb's law, the electric field, differential and integral form of Maxwell's equations for electrostatics
- Lecture 2 - From Coulomb to Maxwell: Lorentz force, the magnetic field, Biot-Savart law, current density, charge conservation and the definition of magnetostatics, Maxwell's equations for magnetostatics, Faraday's Law
- Lecture 3 - Maxwell's correction to Ampere's Law, EM waves, systems of units, scalar and vector potentials, gauge invariance, Lorentz gauge
- Lecture 4 - Coulomb gauge, longitudinal and transverse parts of a vector function, review of Fourier transforms, physical meaning of the electrostatic potential, Green's function
- Lecture 5 - Conductors in electrostatics, Coulomb problem as a boundary value problem, electric field at a charged surface, Dirichlet vs Neumann boundary condition, examples, Green's identities
- Lecture 6 - Uniquness of solutions to the Dirichlet and Neumann boundary value problem, Greens functions for Dirichlet and Neumann boundary conditions, the image charge method for a charge in front of an infinite grounded plane and in front of a grounded conducting sphere
- Lecture 7 - Charge in front of a charged conducting sphere, separation of variables method in rectangular and polar coordinates
- Lecture 8 - Electric field at a sharp edge, separation of variables in spherical coordinates, Legendre polynomials
- Lecture 9 - Examples of problems with azimuthal symmetry.
Green's functions, part III - Eigenfunction expansion for the Greens function - we did not go over this in lecture, but it provides some of the theoretical basis for why the separation of variables method works
- Lecture 10 - Electrostatic multipole expansion, monopole, dipole, quadrupole moments
- Lecture 11 - Electric quadrupole example, magnetostatic multipole expansion, magnetic dipole approximation
- Lecture 12 - Magnetic dipole for a flat planar loop, magnetostatic scalar potential, boundary conditions at a sheet current, examples