Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 24 - Electric Potential - Problems - Page 714: 66i

Answer

$V = 4.49\times 10^4~V$

Work Step by Step

The electric potential inside a spherical shell due to the charge on the outside of the shell is equal to the electric potential on the surface of the shell. That is $V = \frac{1}{4\pi~\epsilon_0}~\frac{Q}{R}$ The electric potential outside a spherical shell due to the charge on the outside of the shell is $~~V = \frac{1}{4\pi~\epsilon_0}~\frac{Q}{r}~~$ where $r$ is the distance from the center. We can find the electric potential at $r = 0$: $V = \frac{1}{4\pi~\epsilon_0}~(\frac{q_1}{R_1}+\frac{q_2}{R_2})$ $V = \frac{1}{(4\pi)~(8.854\times 10^{-12}~C/V~m)}~(\frac{2.00\times 10^{-6}~C}{0.500~m}+\frac{1.00\times 10^{-6}~C}{1.00~m})$ $V = 4.49\times 10^4~V$
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