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PHY 415: Electromagnetic Theory I
Prof. S. Teitel: stte@pas.rochester.edu ---- Fall 2020

Videos

The links below take you to the pre-recorded video lectures for the different topic units of the course. In order to view a video, you must be logged in to the University's Blackboard system using you UR NetID. You may need to turn your volume up when you listen to these videos.

Warning! Since these pre-recorded video lectures are being delivered without a live audience to keep me honest, be aware that there may be occasional slips of the tounge or typos. If you think something you see in a lecture is not quite correct, please doublecheck against the posted course Notes. If something still confuses you, please contact Prof. Teitel, and refer to the time mark within the video where you think something is wrong.

Welcome Video
Unit 1 - Review of Maxwell's Equations [3.73 hr]
- Video 1-1.1 - Coulomb's Law, superposition, charge density [16 min]
- Video 1-1.2 - Electric field and Maxwell's equations for electrostatics [28 min]
- Video 1-1.3 - Helmholtz's Theorem [18 min]
- Video 1-2.1 - Magnetic fields, current density, charge conservation [22 min]
- Video 1-2.2 - Maxwell's equations for magnetostatics [20 min]
- Video 1-3.1 - Faraday's Law, Maxwell's correction to Ampere's Law, waves, systems of units [30 min]
- Video 1-4.1 - Electrostatic potential, magnetic vector potential [18 min]
- Video 1-4.2 - Scalar and vector potentials for dynamics, gauge invariance [12 min]
- Video 1-4.3 - Lorenz gauge, Coulomb gauge [26 min]
- Video 1-4.4 - Transverse and longitudinal parts of a vector field, Helmholtz's Theorem revisited [17 min]
- Video 1-5.1 - Fourier transforms, transform of the Dirac delta function, transform of the Coulomb potential [17 min]
Unit 2 - Electrostatics and Magnetostatics [10.55 hr]
- Video 2-1.1 - Physical meaning of the electrostatic potential, the Green's function, review of conductors in electrostatics [24 min]
- Video 2-1.2 - The Poisson equation as a boundary value problem, review of electrostatic boundary conditions at a charged surface [44 min]
- Video 2-1.3 - Additional examples [34 min]
- Video 2-2.1 - A point charge in front of a grounded plane [33 min]
- Video 2-2.2 - A point charge in front of a grounded sphere [31 min]
- Video 2-2.3 - A point charge in front of a charged sphere and a neutral sphere [47 min]
- Video 2-3.1 - Seperation of variables in rectangular coordinates [25 min]
- Video 2-3.2 - Seperation of variables in cylindrical coordinates [42 min]
- Video 2-3.3 - Seperation of variables in spherical coordinates [37 min]
- Video 2-3.4 - Examples with azimuthal symmetry [44 min]
- Video 2-4.1 - The monopole, dipole, and quadrupole moments, general expansion [52 min]
- Video 2-4.2 - The effect of the origin of the coordinates, quadrupole example [45 min]
- Video 2-4.3 - The quadrupole term more generally, angular averaged potential [26 min]
- Video 2-5.1 - Poisson's equation for the magnetic potential, the magnetic dipole approximation [54 min]
- Video 2-5.2 - Magnetostatic boundary conditions at a current sheet, the scalar magnetic potential and magnetostatic boundary value problems [49 min]
- Video 2-5.3 - Example of a current carrying loop [31 min]
- Video 2-6.1 - Symmetry of electric and magnetic fields under reflection, vectors vs psuedovectors [15 min]
Unit 3 - Macroscopic Maxwell's Equations in Matter [5.41 hr]
- Video 3-1.1 - Dielectric materials and bound charge [21 min]
- Video 3-1.2 - Averaging over atomic lengths, the polarization density and the electric displacement field D [62 min]
- Video 3-2.1 - Magnetic materials and bound currents [22 min]
- Video 3-2.2 - Averaging over atomic lengths, the magnetization density and the magnetic field H [58 min]
- Video 3-3.1 - Boundary conditions at surfaces and interfaces of dielectric and magnetic materials [20 min]
- Video 3-3.2 - Examples: a uniformly polarized sphere, and a uniformly magnetized sphere [28 min]
- Video 3-4.1 - Electric and magnetic susceptibilities, the dielectric constant and the magnetic permeability, the Clausius-Mossotti equation [34 min]
- Video 3-4.2 - Screening by bound charges, interfaces, examples [34 min]
- Video 3-5.1 - A more interesting example [30 min]
- Video 3-6.1 - Bar magnets, H vs B [16 min]
Unit 4 - Electromagnetic Energy and Momentum [3.72 hr]
- Video 4-1.1 - Electromagnetic energy and energy conservation [22 min]
- Video 4-1.2 - Energy conservation and the macroscopic Maxwell equations [20 min]
- Video 4-1.3 - Electrostatic and magnetostatic energy [22 min]
- Video 4-2.1 - Electromagnetic momentum and momentum conservation [35 min]
- Video 4-2.2 - Meaning of the Maxell stress tensor and the force on a conductor's surface [22 min]
- Video 4-3.1 - Capacitance matrix between conducting bodies [33 min]
- Video 4-3.2 - Mutual inductance matrix between current carrying loops [13 min]
- Video 4-4.1 - Harmonic plane electromagnetic waves in a vacuum [40 min]
- Video 4-4.2 - Energy and momentum in harmonic plane waves [16 min]
Unit 5 - Electromagnetic Waves in Dielectrics and Conductors, Polarization, Interfaces [7.2 hr]
Unit 6 - Radiation and Fields from Moving Charges [5.0 hr]
- Video 6-1.1 - The Green's function for the wave equation [54 min]
- Video 6-1.2 - The Liénard-Wiechert potentials for a moving point charge [25 min]
- Video 6-1.3 - The potentials and fields from a charge moving with constant velocity [33 min]
- Video 6-2.1 - Electric dipole contribution to the vector potential, A_E1 [35 min]
- Video 6-2.2 - Magnetic dipole and electric quadrupole contributions to the vector potential, A_M1 and A_E2 [39 min]
- Video 6-3.1 - Fields within the electric dipole approximation [41 min]
- Video 6-4.1 - Fields within the magnetic dipole approximation [20 min]
- Video 6-4.2 - Fields within the electric quadrupole approximation [26 min]
- Video 6-5.1 - Radiation from arbitrarily time varying sources and Larmor's formula [29 min]
Unit 7 - Maxwell's Equations and Special Relativity [4.1 hr]
- Video 7-1.1 - Special Relativity and the Lorentz transformation [35 min]
- Video 7-1.2 - 4-vectors and the proper time [58 min]
- Video 7-2.1 - Maxwell's equations in potential form [25 min]
- Video 7-2.2 - Field strength tensor and Maxwell's inhomogeneous equations [26 min]
- Video 7-2.3 - Maxwell's homogeneous equations [27 min]
- Video 7-2.4 - Lorentz transformation of electric and magnetic fields [9 min]
- Video 7-3.1 - Relativistic kinematics [24 min]
- Video 7-3.2 - Relativistic form for the Lorentz force [15 min]
- Video 7-4.1 - The relativisitic Larmor's formula [28 min]