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# (a) In a certain region of space, the volume charge ISBN: 9780321675460 31

## Solution for problem 15DQ Chapter 22

University Physics | 13th Edition

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Problem 15DQ

(a) In a certain region of space, the volume charge density ? has a uniform positive value. Can be uniform in this region? Explain. (b) Suppose that in this region of uniform positive ? there is a “bubble” within which ? = 0. Can be uniform within this bubble? Explain.

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Solution 15DQ Step 1 of 3: (a) In a certain region of space, the volume charge density has a uniform positive value. Can be uniform in this region Explain. The electric field lines of a uniform electric field are equally spaced in same direction. Thus, if we place any closed surface in such a region of uniform electric field, the net electric flux through the surface will be zero. As flux depends on field lines, the number of lines entering the closed surface is equal to the number of field lines leaving the surface. Step 2 of 3: From Gauss’s law we know that, electric flux through a closed surface is directly proportional to the charge enclosed by the surface. In the given case as the electric flux is zero, there is zero charge enclosed by the surface. Therefore, the electric field cannot be uniform in a given region if there is some net charge or charge density in the same region.

Step 3 of 3

##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 15DQ from chapter: 22 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “(a) In a certain region of space, the volume charge density ? has a uniform positive value. Can be uniform in this region? Explain. (b) Suppose that in this region of uniform positive ? there is a “bubble” within which ? = 0. Can be uniform within this bubble? Explain.” is broken down into a number of easy to follow steps, and 50 words. Since the solution to 15DQ from 22 chapter was answered, more than 259 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: uniform, region, bubble, explain, Positive. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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