University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 23 - Electric Potential - Problems - Exercises - Page 777: 23.8

Answer

$U = 97 \times 10^{-3} \,\text{J}$

Work Step by Step

There are three charges and each charge $q$ is at distance $r$ = 0.4 m from the other two. So, the energy that assembles the three charges will be the summation of the potential energy of each charge and will be calculated in the form \begin{align*} U &= \dfrac{1}{4\pi \epsilon_o} \sum \dfrac{q q_i}{r_i}\\ &= \dfrac{1}{4\pi \epsilon_o} \dfrac{+3q^2}{r}\\ &=(9\times 10^{9} \mathrm{~N\cdot m^2/C^2}) \dfrac{+3(1.2\times 10^{-6} \,\text{C})^2}{0.4 \,\text{m}}\\ &= \boxed{97 \times 10^{-3} \,\text{J}} \end{align*}
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