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# Use the duality transformation (Prob. 7.64) to construct

ISBN: 9780321856562 45

## Solution for problem 29P Chapter 11

Introduction to Electrodynamics | 4th Edition

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Problem 29P

Problem 29P

Use the duality transformation (Prob. 7.64) to construct the electric and magnetic fields of a magnetic monopole qm in arbitrary motion, and find the “Larmor formula” for the power radiated

Reference prob 7.64

iv class="question">

(a) Show that Maxwell’s equations with magnetic charge (Eq. 7.44) are invariant under the duality transformation

where  is an arbitrary rotation angle in “E/B-space.” Charge and current densities transform in the same way as qe and qm.

particular, that if you know the fields produced by a configuration of electric charge, you can immediately (using α = 90˚) write down the fields produced by the corresponding arrangement of magnetic charge.]

(b) Show that the force law (Prob. 7.38)

is also invariant under the duality transformation.

Step-by-Step Solution:

Step 1 of 3</p>

In this problem, we have to show that Maxwell’s equations with magnetic charge are invariant under the duality transformation.

Step 2 of 3</p>

Step 3 of 3

##### ISBN: 9780321856562

The full step-by-step solution to problem: 29P from chapter: 11 was answered by , our top Physics solution expert on 07/18/17, 05:41AM. Since the solution to 29P from 11 chapter was answered, more than 226 students have viewed the full step-by-step answer. The answer to “Use the duality transformation (Prob. 7.64) to construct the electric and magnetic fields of a magnetic monopole qm in arbitrary motion, and find the “Larmor formula” for the power radiatedReference prob 7.64iv class="question">(a) Show that Maxwell’s equations with magnetic charge (Eq. 7.44) are invariant under the duality transformation where is an arbitrary rotation angle in “E/B-space.” Charge and current densities transform in the same way as qe and qm.particular, that if you know the fields produced by a configuration of electric charge, you can immediately (using ? = 90?) write down the fields produced by the corresponding arrangement of magnetic charge.](b) Show that the force law (Prob. 7.38) is also invariant under the duality transformation.” is broken down into a number of easy to follow steps, and 115 words. Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562. This full solution covers the following key subjects: magnetic, Charge, Fields, Transformation, prob. This expansive textbook survival guide covers 12 chapters, and 550 solutions. This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4.

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