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
Unformatted text preview: Electromagnetic Theory II Problem Set 1 Due: 19 January 2011 1. J, Problem 11.3. 2. J, Problem 11.6. 3. One way to compare length measurements in different frames is to compare how a wave packet looks in different frames. Let the function f ( x ), independent of y, z , describe a symmetric profile in the x coordinate with a definite width w . Then ( x, t ) = f ( x ct ) solves the wave equation parenleftbigg 2 + 1 c 2 2 t 2 parenrightbigg = 0 (1) in the unprimed frame. a) Find the function ( x , t ) that describes how this packet looks in the primed frame which is moving in the negative x direction at velocity v , and show that it solves the wave equation in the primed system. b) What is the width w of this profile as determined in the primed system? Notice that w /w is not the usual Lorentz contraction factor. c) To understand this difference, consider a rod of rest length L parallel to the xaxis, moving in the positive x direction with velocity...
View Full
Document
 Spring '08
 Staff

Click to edit the document details