emhw15 - Electromagnetic Theory II Problem Set 1 Due: 19...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the 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 x-axis, moving in the positive x direction with velocity...
View Full Document

Page1 / 2

emhw15 - Electromagnetic Theory II Problem Set 1 Due: 19...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online