Physics: Principles with Applications (7th Edition)

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

Chapter 17 - Electric Potential - General Problems - Page 498: 74

Answer

$2\times10^{-7}C$

Work Step by Step

Equation 17–4a tells us that the voltage difference V between the plates is the electric field strength, multiplied by the separation distance, so V = Ed. Use that with equation 17–8 for the capacitance of a parallel-plate capacitor. $$Q=CV=\epsilon_o \frac{A}{d}Ed=\epsilon_o AE$$ $$=(8.85\times10^{-12}C^2/(N\cdot m^2))(65\times10^{-4}m^2)(3\times 10^6V/m) $$ $$=1.7\times10^{-7}C\approx2\times10^{-7}C$$
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