Fundamentals of Physics Extended (10th Edition)

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

Chapter 25 - Capacitance - Problems - Page 742: 45

Answer

$E=66\mu J$

Work Step by Step

We can determine the energy stored is: $E=\frac{1}{2}CV^2$...eq(1) We also know that $C=\frac{kA\epsilon_{\circ}}{d}$ Thus, we plug in the known values to obtain: $C=\frac{5.5(0.034)(8.85\times10^{-12})}{2\times10^{-3}}=827.475\times10^{-12}$ Now, we have to find $V$ As $V=Ed$, where $E$ represents electric field We find: $V=200\times10^3(2\times10^{-3})=400V$ Now putting values in eq(1), we get $E=\frac{1}{2}(827.475\times10^{-12})(400)^2=6.6\times10^{-5}=66\times10^{-6}=66\mu J$ $E=66\mu J$
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