Electromagnetism Lectures

Introduction to Electrostatics

Introduction to Electric Fields

Gauss's Law Part I

Gauss's Law Part II

Electric Potential Part I

Electric Potential Part II

Boundary Conditions

Work and Energy

Boundary Value Problems in Electrostatics

Discussion of Laplace's Equation and the Uniqueness Theorem

Method of Images

Laplace's Equation in Cartesian Coordinates

Laplace's Equation in Cylindrical Coordinates

Laplace's Equation in Spherical Coordinates Part I

Laplace's Equation in Spherical Coordinates Part II

Multipole Expansion of the Electrostatic Potential Part I

Multipole Expansion of the Electrostatic Potential Part II

Please note that the third term in the multipole expansion at the bottom left of the whiteboard should be squared.

The appendix, which contains an explanation of the delta term in the expression for the electric field due to a pure dipole, will be posted shortly.

Green's Reciprocation Theorem

Dielectric Materials

Introduction to Dielectrics

Gauss's Law for Dielectrics

Linear, Isotropic Dielectrics

Capacitors: Parallel Plates, Spherical, and Cylindrical

Boundary Value Problems: Dielectrics

Introduction to Magnetostatics

Motion of a Charged Particle in a Uniform Magnetic Field

Ampere's Law

Biot-Savart Law

Magnetic Vector Potential

Biot-Savart Law Part 2

Multipole Expansion of the Magnetic Vector Potential

Magnetostatic Boundary Conditions and Wrap-Up of Magnetic Fields due to Current Distributions

Magnetic Materials

Magnetism in Matter: The Magnetization Vector and the H Field

Linear Magnetic Materials and Boundary Conditions

Linear Magnetic Materials Boundary Value Problems

Overview of Diamagnetism, Paramagnetism, and Ferromagnetism.....Coming Soon

Electromagnetic Induction

Ohm's Law and Emf

The Flux Rule Part I: Motional Emf and Faraday's Law

The Flux Rule Part II: Faraday's Law

Please note that the pressure gradient term in the momentum equation of the Ideal MHD should have a minus sign.

The discussion of a circuit in a multiply-connected region was based on the following paper:

1. Robert H. Romer, "What do 'voltmeters' measure?: Faraday's law in a multiply connected region," Am. J. Phys. 42, 295(1974)

Inductance

Energy in Magnetic Fields

Maxwell's Equations and The Displacement Current

Conservation Laws

Poynting's Theorem
The three last simulations in this lecture were based on a model that first appeared in the following paper:

1. Mark A. Heald, "Electric fields and charges in elementary circuits," Am. J. Phys. 52, 522(1984)

Maxwell's Stress Tensor
The momentum flow simulations in this lecture were developed using the technique outlined in the following paper:

1. F. Hermann and G. Bruno Schmid, "Momentum flow in the electromagnetic field," Am. J. Phys. 53, 415(1985)

Momentum

Angular Momentum
The example worked out in this lecture is based on the model first published in the following papers:

1. N.L. Sharma, "Field versus action-at-a-distance in a static situation," Am. J. Phys. 56, 420(1988)
2. D. J. Griffiths, "Note on 'Field versus action-at-a-distance in a static situation,' by N.L. Sharma[Am. J. Phys. 56, 420-423(1988)]," Am. J. Phys. 57, 558(1989)

Electromagnetic Waves

Plane Waves

Poynting Vector and Radiation Pressure

Spherical Waves

Plane Waves in Conducting Media and the Skin Effect

Reflection and Refraction Part I: Three Laws of Geometric Optics and the Fresnel Coefficients

Reflection and Refraction Part II: the Fresnel Coefficients continued, Brewster's Angle, and the Critical Angle

Waveguides: Introduction to Transmission Lines

Waveguides: Hollow Rectangular Conductors Part I

Waveguides: Hollow Rectangular Conductors Part II

More on Waveguides and Cavity Resonators

Retarded Potentials and Fields

Retarded Potentials and Fields

Radiation: Antennas

Electric Dipole Radiation

The Finite Length Dipole Antenna

Magnetic Dipole Radiation

Antenna Arrays

Dynamics of a Point Charge

The Lienard-Wiechert Potentials and Fields
Complete Derivation of the Fields

A Point Charge that Travels with Uniform Velocity

1. G. Goedecke, "Classically Radiationless Motions and Possible Implications for Quantum Theory," Phys. Rev. 135, B281(1964)
2. G.G. Fazio, J.V. Jelley & W.N. Charman, "Generation of Cherenkov Light Flashes by Cosmic Radiation within the Eyes of Apollo Astronauts," Nature 228, 260(1970)
3. Peter J. McNulty, "Light Flashes produced in the Human Eye by Extremely Relativistic Muons," Nature 234, 110(1971)
4. P. J. McNulty and V. P. Pease, "Visual Phenomena Induced by Relativistic Carbon Ions With and Without Cerenkov Radiation," Science 201, 343(1978)
5. Tyler A. Abbott and David J. Griffiths, "Acceleration without Radiation," Am. J. Phys. 53, 1203(1985)
6. Kirk T. McDonald, "Radiation from a Superluminal Source," Am. J. Phys. 65, 1076(1997)

A Point Charge that Accelerates
Complete Solution: Synchrotron Radiation- Power Radiated

Simulations of the kind that appear in this video were published by Roger Tsien in the following paper:

1. Roger Y. Tsien, "Pictures of Dynamic Electric Fields," Am. J. Phys. 40, 46(1972)

Radiation Reaction

Please note that the lecturer has an unfortunate habit of adding a 'c' into the name Lifshitz if you search for journal articles with the term 'Landau-Lifshitz'.

Cerenkov Radiation

Conformal Mapping

Conformal Mapping Part I: The Bilinear Transformation

BocaPhysics Series on Electromagnetism: Conformal Mapping Part II

BocaPhysics Series on Electromagnetism: Conformal Mapping Part IIa

Special Topics

Eddies

Electromagnetic Compatibility

Electromagnetic Pulse(EMP)

Electromagnetic Pinch