# ps2 - Physics 523, Introduction to Relativity Homework 2...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Physics 523, Introduction to Relativity Homework 2 Due Thursday, 6 th October 2011 Hans Bantilan Electromagnetic Field Strength Consider the electromagnetic field strength in local coordinates F = - E 1- E 2- E 3 E 1 B 3- B 2 E 2- B 3 B 1 E 3 B 2- B 1 for electric field E and magnetic field B . a. Given a particular rotation R , expressed in local coordinates as ( R ) = 1 cos - sin 1 sin cos , the corresponding inverse transformation ( R ) = 1 cos sin 1- sin cos allows us to compute the rotated EM field strength 1 F = ( R ) ( R ) F = ( R T ) F ( R ) or equivalently F = 1 cos - sin 1 sin cos - E 1- E 2- E 3 E 1 B 3- B 2 E 2- B 3 B 1 E 3 B 2- B 1 1 cos sin 1- sin cos = - E 1 cos + E 3 sin - E 2- E 1 sin - E 3 cos E 1 cos - E 3 sin B 1 sin + B 3 cos - B 2 E 2- B 1 sin - B 3 cos B 1 cos - B 3 sin E 1 sin + E 3 cos B 2- B 1 cos + B 3 sin ....
View Full Document

## This note was uploaded on 02/02/2012 for the course PHY 523 at Princeton.

### Page1 / 4

ps2 - Physics 523, Introduction to Relativity Homework 2...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online