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# (a) Show that V for a spherical shell of radius R, that ISBN: 9780321675460 31

## Solution for problem 41E Chapter 23

University Physics | 13th Edition

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Problem 41E

(a) Show that V for a spherical shell of radius R, that has charge q distributed uniformly over its surface, is the same as V for a solid conductor with radius R and charge q. (b) You rub an inflated balloon on the carpet and it acquires a potential that is 1560 V lower than its potential before it became charged. If the charge is uniformly distributed over the surface of the balloon and if the radius of the balloon is 15 cm, what is the net charge on the balloon? (e) In light of its 1200-V potential difference relative to you, do you think this balloon is dangerous? Explain.

Step-by-Step Solution:

Solution 41E Step 1 : Consider the electric field outside and inside the shell and use that to deduce the potential. (a) The electric field outside the shell is the same as for a point charge at the center of the shell, so the potential outside the shell is the same as for a point charge : q V = 40 rfor r > R Step 2: The electric field is zero inside the shell, so no work is done on a test charge as it moves inside the shell and all points inside the shell are at the same potential as the surface of the shell, V = q for r R 40 R

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##### ISBN: 9780321675460

Since the solution to 41E from 23 chapter was answered, more than 396 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 41E from chapter: 23 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “(a) Show that V for a spherical shell of radius R, that has charge q distributed uniformly over its surface, is the same as V for a solid conductor with radius R and charge q. (b) You rub an inflated balloon on the carpet and it acquires a potential that is 1560 V lower than its potential before it became charged. If the charge is uniformly distributed over the surface of the balloon and if the radius of the balloon is 15 cm, what is the net charge on the balloon? (e) In light of its 1200-V potential difference relative to you, do you think this balloon is dangerous? Explain.” is broken down into a number of easy to follow steps, and 110 words. This full solution covers the following key subjects: balloon, Charge, its, radius, potential. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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