### PHYS 4392 Web Sites F13

`Last edit: 17 Aug 2013`

#### Supplemental lecture notes

Proof of **A x (B x C) = B(A · C) - C(A· B)** using the Levi-Civita tensor ε_{ ijk }.

Equations for test 1.

Equations for test 2.

Legendre_decomp.nb. Mathematica notebook for the decomposition of a function into Legendre polynomials.

#### General cultural links

Famous essay by Eugene Wigner on the "unreasonable effectiveness of mathematics in the natural sciences."

An historical sketch of electromagnetism

#### Self-study resources

An excellent resource accompanying Pollack and Stump's *Electromagnetism* that contains
** self-test **

questions and answers, practice exams, useful tables and chapter summaries
is located here .

Richard Fitzpatrick
has wonderful lecture notes on electromagnetism written at the level of our text.

A graduate level online text by Robert Brown online textbook may be useful to the ambitious.

#### Electrostatic Java Applets

2-dimensional electrostatic fields for various charge configurations (Paul Falstad)

An electric field applet with a distribution of charges (Caltech)

#### Magnetostatic Applets

3-dimensional magnetostatic field in a variety of circumstances. (Paul Falstad)

#### Special relativity and electromagnetism Applets

Field of a moving point charge. (Caltech)

Origin of the **v x B** term in the lorentz force. (Caltech)

#### Diverse helpful software

gnuplot (A freeware plotting and fitting package.)

Online integrator from Mathematica®

**Note:** SMU has a site license for Mathematica®. Contact ITS for details.

#### Just for fun

Dr. Electric's high voltage site. An amusing (and informative) site
showing

dramatic time dependent electromagnetic effects. Includes videos, photos
and technical details.
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