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: 49c

Answer

$E = 0.112~N/C$

Work Step by Step

We can find the magnitude of the electric field at $r = a$: $\phi = \frac{q_{enc}}{\epsilon_0}$ $E~(4\pi~r^2) = \frac{q_{enc}}{\epsilon_0}$ $E = \frac{q_{enc}}{4\pi~a^2~\epsilon_0}$ $E = \frac{5.00\times 10^{-15}~C}{(4\pi)~(0.0200~m)^2~(8.854\times 10^{-12}~F/m)}$ $E = 0.112~N/C$
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