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PHY 415: Electromagnetic Theory I
Prof. S. Teitel: stte@pas.rochester.edu ---- Fall 2021

Unit 3

Unit 1Unit 2Unit 3Unit 4Unit 5Unit 6Unit 7Unit 8

Macroscopic Maxwell's Equations in Matter

September 30 to October 14

You should review the notes and videos below by October 14.
Questions on the material of Unit 3 may be posted on the Unit 3 Discussion Board, or on the Unit 3 Slack channel.

Your response to Discussion Question 5 is due Tuesday, October 5, at 5pm.
Your response to Discussion Question 6 is due Tuesday, October 12, at 5pm.
Your solutions to Problem Set 6 are due Thursday, October 14, at 5pm.

In this unit we discuss the behavior of electromagnetic fields in dielectric and magnetic materials. Averaging over the effects of the charges contained within the particles out of which the material is composed, we derive the Macroscopic Maxwell's Equations. We discuss the polarization and magnetization densities and show how they lead to bound charge and bound current. We discuss the behavior at interfaces between two different media.

Below is a list of links to course notes for each topic in this unit, followed by links to recorded video lectures.

Notes and Video Lectures

  • Notes 3-1 - Dielectric materials: Polarization density, electric displacement field D, bound charge

    • 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]

  • Notes 3-2 - Magnetic materials: Magnetization density, magnetic field H, bound currents

    • 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]

  • Notes 3-3 - The Macroscopic Maxwell Equations

    • 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]

  • Notes 3-4 - Linear materials, Clausius-Mossotti equation, behavior at interfaces, examples

    • 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]

  • Notes 3-4-supp - An example: a magnetizable sphere in a uniform magnetic field

  • Notes 3-5 - A charge off-center inside a dielectric sphere

  • Notes 3-6 - Bar magnets