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# Is Ampère’s law consistent with the general rule (Eq.

ISBN: 9780321856562 45

## Solution for problem 21P Chapter 5

Introduction to Electrodynamics | 4th Edition

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Problem 21P

Is Ampère’s law consistent with the general rule (Eq. 1.46) that divergence-of-curl is always zero? Show that Ampère’s law cannot be valid, in general, outside magnetostatics. Is there any such “defect” in the other three Maxwell equations?

Step-by-Step Solution:

Step 1 of 5</p>

We are required to check the validity of Ampere’s law outside magnetostatics. We are also required to check this context for other Maxwell electromagnetic equations.

Step 2 of 5</p>

The mathematical form of Ampere’s law is given as, …..(1)

Where, magnetic field

current density

permeability of free space

Step 3 of 5</p>

Taking divergence of equation (1),

( since div of curl is zero)

…..(2)

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321856562

Since the solution to 21P from 5 chapter was answered, more than 360 students have viewed the full step-by-step answer. The answer to “Is Ampère’s law consistent with the general rule (Eq. 1.46) that divergence-of-curl is always zero? Show that Ampère’s law cannot be valid, in general, outside magnetostatics. Is there any such “defect” in the other three Maxwell equations?” is broken down into a number of easy to follow steps, and 37 words. The full step-by-step solution to problem: 21P from chapter: 5 was answered by , our top Physics solution expert on 07/18/17, 05:41AM. This full solution covers the following key subjects: Law, AMP, general, always, consistent. 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. Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562.

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