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# (a) From the expression for obtained in Example 22.9 ## Problem 72P Chapter 23

University Physics | 13th Edition

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Problem 72P

(a) From the expression for obtained in Example 22.9 (Section 22.4), find the expression for the electric potential V as a function of r both inside and outside the uniformly charged sphere. Assume that V = 0 at infinity. (b) Graph V and E as functions of from r = 0 to r = 3R.

Step-by-Step Solution:

Solution 72P Step 1 of 2: a)The potential difference between two points a and b, also called the potential of a with respect b to b, is given by the line integral of V aV = E.dl b a The field radially outward , so E.dl = Edr Let a = , so V = a r If r > R, E = k2 and V = kQ d2= kQ r r r R r If r < R, E = 3Q and V = E.dr= ( kQ k3 )r d r R R R R kQ kQ kQ = R + 2R R3 2 = kQ (3 r2) 2R R

Step 2 of 2

##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “(a) From the expression for obtained in Example 22.9 (Section 22.4), find the expression for the electric potential V as a function of r both inside and outside the uniformly charged sphere. Assume that V = 0 at infinity. (b) Graph V and E as functions of from r = 0 to r = 3R.” is broken down into a number of easy to follow steps, and 55 words. This full solution covers the following key subjects: Expression, graph, charged, electric, Example. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by Patricia and is associated to the ISBN: 9780321675460. Since the solution to 72P from 23 chapter was answered, more than 228 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 72P from chapter: 23 was answered by Patricia, our top Physics solution expert on 05/06/17, 06:07PM.

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