Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 22 - Electromagnetic Waves - Problems - Page 641: 2

Answer

$4.8\times10^{-8}A$

Work Step by Step

On page 627, the displacement current is derived as $I_D=\epsilon_o\frac{\Delta \Phi_E}{\Delta t}$. The electric field flux is given by EA, where A is the area of the capacitor plates. $$I_D=\epsilon_o\frac{\Delta \Phi_E}{\Delta t}$$ $$=\epsilon_o A\frac{\Delta E}{\Delta t}$$ $$=(8.85\times10^{-12}C^2/(N \cdot m^2))(0.058m)^2(1.6\times10^6\frac{V/m}{s})$$ $$=4.8\times10^{-8}A$$
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