# hmwk14 - Homework set for Chapter 14 1. In the notes, we...

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

Homework set for Chapter 14 1. In the notes, we derived the relativistic Larmor formula by demanding conservation of energy. In the book, it is derived by rewriting the nonrelativistic result in terms of momentum 4-vectors, and considering how these transform. However, there is another way. The Larmor formula states that the radiated power is proportional to the acceleration of a charged particle squared. By considering how acceleration transforms from frame to frame, derive the relativistic Larmor formula, or the Li´ enard formula. 2. Apply what you learned in Section IV.A of the notes to the simple case of a particle which feels a short burst of acceleration parallel to its motion. v t t Assume that | v | ¿ | v | , and since the region of acceleration is small, make a dipole approximation to calculate the radiation portion of E ( x , ω ). Then calculate dI ( ω ) /d Ω as a function of θ , ω , ∆ t and v . Plot the frequency distribution for Fxed θ , note the width of the central peak. Is this what

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.

## This note was uploaded on 01/08/2012 for the course PHYSICS 707 taught by Professor Electrodynamics during the Fall '11 term at LSU.

### Page1 / 2

hmwk14 - Homework set for Chapter 14 1. In the notes, we...

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

View Full Document
Ask a homework question - tutors are online