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An electron is released from rest and falls under the

Introduction to Electrodynamics | 4th Edition | ISBN: 9780321856562 | Authors: David J. Griffiths ISBN: 9780321856562 45

Solution for problem 12P Chapter 11

Introduction to Electrodynamics | 4th Edition

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Introduction to Electrodynamics | 4th Edition | ISBN: 9780321856562 | Authors: David J. Griffiths

Introduction to Electrodynamics | 4th Edition

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Problem 12P

An electron is released from rest and falls under the influence of gravity. In the first centimeter, what fraction of the potential energy lost is radiated away?

Step-by-Step Solution:

Solution 12P

Step 1 of 4:

To determine the potential energy radiated by an accelerating electron

Let us consider an accelerating charged particle which radiates away energy

And if for a time ‘T’ , the magnitude of the acceleration is ‘a’, then the energy radiated is given by;

                                                                                ….(1)

Equation(1) is known as Larmor Formula.

Step 2 of 4:  

Now let us consider a particle in its initial state of rest, then the kinetic energy of the particle for time ‘T’ is ,

                                                                                ….(2)

Step 3 of 4

Chapter 11, Problem 12P is Solved
Step 4 of 4

Textbook: Introduction to Electrodynamics
Edition: 4
Author: David J. Griffiths
ISBN: 9780321856562

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An electron is released from rest and falls under the

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