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

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

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

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