Fundamentals of Physics Extended (10th Edition)

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

Chapter 23 - Gauss' Law - Problems - Page 680: 13

Answer

$q=3.54\mu C$

Work Step by Step

We know that: $\phi=\frac{q}{\epsilon_{\circ}}$ This can be rearranged and rewritten as: $q=\epsilon_{\circ}\phi$ $\implies q=\epsilon_{\circ}A({E_l-E_u})$ where $E_u$ and $E_l$ are the magnitudes of electric fields at upper and lower ends of the cube respectively. Therefore; $q=8.85\times 10^{-12}(100)^2(100-60.0)=3.54\times 10^{-6}=3.54\mu C$
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