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 499: 82

Answer

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Work Step by Step

a. Calculate the capacitance from Equation 17–9. $$C=\frac{\kappa \epsilon_o A}{d}=\frac{3.7(8.85\times10^{-12}F/m)(0.21m)(0.14m)}{0.11\times10^{-3}m}=8.8nF$$ b. The charge equals the capacitance multiplied by the voltage (this is simply the electric field multiplied by d, the separation of the plates). $$Q_{max}=CV=CEd$$ When the maximum charge is stored, the electric field between the plates equals the dielectric strength of paper. $$=(8.752\times10^{-9}F)(15\times10^6 V/m)( 0.11\times10^{-3}m)=14\mu C$$
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