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 681: 36a

Answer

$E=2\times 10^{-11}\frac{N}{C}$

Work Step by Step

We know that: $E=\frac{\sigma}{2\epsilon_{\circ}}$ We plug in the known values to obtain: $E=\frac{1.77\times 10^{-22}}{2(8.85\times 10^{-12})}=1\times 10^{-11}$ This is the electric field due to one sheet. Thus, the electric field due to two sheets is twice as that of one sheet; $\implies E=2(1\times 10^{-11})=2\times 10^{-11}\frac{N}{C}$
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