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

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

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

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