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 682: 44

Answer

$q=2.2\times 10^{-6}C$

Work Step by Step

We know that: $E=\frac{1}{4\pi \epsilon_{\circ}}\frac{q}{r^2}$ or $E=K\frac{q}{r^2}$ (where $K=\frac{1}{4\pi \epsilon_{\circ}}$) This can be rearranged as: $q=\frac{Er^2}{K}$ We plug in the known values to obtain: $q=\frac{5.0\times 10^7(0.020)^2}{8.99\times 10^9}=2.2\times 10^{-6}C$
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