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 - Problems - Page 497: 43

Answer

$9\times10^{-16}m$.

Work Step by Step

Find the spacing using equation 17–8, the capacitance of a parallel-plate capacitor. $$C=\frac{\epsilon_oA}{d}$$ $$d=\frac{\epsilon_o A}{C}=\frac{(8.85\times10^{-12}C^2/(N\cdot m^2)) (0.0001m^2)}{1F}$$ $$=9\times10^{-16}m$$ This spacing is unrealistically small, less than a nuclear radius, so an 1-F air gap capacitor is impractical.
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