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# (a) Using the law of cosines, show that Eq. 3.17 can be

## Problem 8P Chapter 3

Introduction to Electrodynamics | 4th Edition

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Introduction to Electrodynamics | 4th Edition

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Problem 8P

(a) Using the law of cosines, show that Eq. 3.17 can be written as follows:

where r and θ are the usual spherical polar coordinates, with the z axis along the line through q. In this form, it is obvious that V = 0 on the sphere, r = R.

(b) Find the induced surface charge on the sphere, as a function of θ. Integrate this to get the total induced charge. (What should it be?)

Reference equation 3.17

Step-by-Step Solution:

Step 1 of 4</p>

First we have to derive the given equation using data after that we need to find the induced surface charge on the sphere.

Step 2 of 4</p>

So,

Here ,

Therefore,

It is proved.

If Then

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321856562

This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4th. This full solution covers the following key subjects: Charge, sphere, induced, line, cosines. This expansive textbook survival guide covers 12 chapters, and 550 solutions. Introduction to Electrodynamics was written by Sieva Kozinsky and is associated to the ISBN: 9780321856562. The answer to “(a) Using the law of cosines, show that Eq. 3.17 can be written as follows: where r and ? are the usual spherical polar coordinates, with the z axis along the line through q. In this form, it is obvious that V = 0 on the sphere, r = R.(b) Find the induced surface charge on the sphere, as a function of ?. Integrate this to get the total induced charge. (What should it be?)Reference equation 3.17” is broken down into a number of easy to follow steps, and 77 words. The full step-by-step solution to problem: 8P from chapter: 3 was answered by Sieva Kozinsky, our top Physics solution expert on 07/18/17, 05:41AM. Since the solution to 8P from 3 chapter was answered, more than 337 students have viewed the full step-by-step answer.

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