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 - Questions - Page 709: 10b

Answer

$V = \frac{1}{4\pi~\epsilon_0}~\frac{Q}{R}$

Work Step by Step

We can write the general expression for the electric potential at point P due to a system of charges: $V = \frac{1}{4\pi~\epsilon_0}~\sum \frac{q_i}{r_i}$ Note that electric potential is not a vector, so electric potential does not depend on the direction from point P to a charge. In this case, $\sum q_i = Q$ while the distance between all the charge and point P is $R$ Therefore: $V = \frac{1}{4\pi~\epsilon_0}~\frac{Q}{R}$
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