I. Maxwell's equations

L1

Coulomb-Lorentz force law; Maxwell's equations in integral form; simple electric and magnetic field solutions using Gauss' and Ampere's laws for point, line, and surface charges and currents; superposition; simple cylindrical and spherical source problems

Demos: H/M 10.2.1 - Edgerton's Boomer

(PDF)

L2

Derive boundary conditions; apply boundary conditions to surface charge and surface current problems

(PDF)

L3

Divergence and Stokes' theorems; Maxwell's equations in differential form; electroquasistatics and magnetoquasistatics (MQS); potential and the gradient operator

Demo: H/M 10.0.1 nonuniqueness of voltage in an MQS system

(PDF)

L4

The electric field, electric scalar potential, and the gradient; Poisson's and Laplace's equations; potential of point charge; Coulomb superposition integral

(PDF)

L5

Method of images

(PDF)

L6-L7

Lecture 6

Media: dielectric, conducting, and magnetic constitutive laws; charge relaxation

Demos: H/M 6.6.1 artificial dielectric; 9.4.1 measurement of B-H characteristic (magnetic hysteresis loop)

Lecture 7

Conservation of charge boundary condition; Maxwell capacitor; magnetic dipoles and circuits; reluctance

(PDF - 1.2 MB)

II. Plane waves

L8

Wave equation; Poynting's theorem

(PDF)

L9

Oblique incidence on a perfect conductor; transverse magnetic (TM) waves with oblique incidence on lossless media described by ε and µ; reflection and transmission; transverse electric (TE) waves with oblique incidence on lossless media

(PDF)

III. Transmission lines and waveguides

L10

Parallel plate transmission lines; wave equation; sinusoidal steady state

Demo: H/M 13.1.1 visualization of standing waves

(PDF)

L11

Gamma plane; Smith chart; voltage standing wave ratio (VSWR); λ/4 transformer

Demo: V(z,t), I(z,t) movies

(PDF - 2.6 MB)

L12-L13

Lecture 12

Wave equations (lossless); transient waves on transmission lines

Demo: H/M 14.4.1 transmission line matching, reflection, and quasistatic charging

Lecture 13

Reflections from ends; driven and initial value problems

(PDF - 2.5 MB)

L14

Rectangular waveguides; TM and TE modes; cut-off

(PDF)

IV. Fields and forces

L15

Dielectric waveguides

Demo: evanescent waves

(PDF)

L16-L17

Lecture 16

Energy in electric and magnetic fields; principle of virtual work to find electric and magnetic forces; magnetic circuit problems

Demo: H/M 11.6.2 force on a dielectric material (video)

Lecture 17

Synchronous rotating machines

Film: Synchronous Machines

(PDF)

L18

Self-excited electric and magnetic machines

Demo: H/M 7.7.1 van de Graaff and Kelvin generators (video); self-excited commutator machines

(PDF - 1.3 MB)

V. Antennas and radiation

L19

Radiation by charges and currents; setting the gauge; Lorentz gauge; superposition integral solutions for scalar and vector potentials; radiation from a point electric dipole; receiving antenna properties

(PDF)

L20

2 element array; broad side and end-fire arrays

Demo: radiation patterns

(PDF - 1.1 MB)

L21

Transmitting and receiving antennas; wireless and optical communications

(PDF - 1.5 MB)

VI. Acoustics

L22

Acoustic waves

(PDF - 2.5 MB)

L23

Course review

(PDF - 1.2 MB)

Problem set 1 (PDF)

(PDF)

Problem set 2 (PDF)

(PDF)

Problem set 3 (PDF)

(PDF)

Problem set 4 (PDF)

(PDF)

Problem set 5 (PDF)

(PDF)

Problem set 6 (PDF)

(PDF)

Problem set 7 (PDF)

(PDF)

Problem set 8 (PDF)

(PDF)

Problem set 9 (PDF)

(PDF)

Problem set 10 (PDF)

(PDF)

Problem set 11 (PDF)

(PDF)

Quiz 1 (PDF)

(PDF)

Quiz 2 (PDF)

(PDF)