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 500: 94

Answer

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Work Step by Step

a. Use Q=CV to find the amount of charge on each plate. $$Q=CV$$ The negative plate has excess electrons. $$N(-e)=-CV$$ $$N=\frac{CV}{e}=\frac{(35\times10^{-15}F)(1.5V)}{1.60\times10^{-19}C}\approx 3.3\times10^5$$ b. The stored charge is directly proportional to the potential difference. A $2.0\%$ decrease in potential difference means a $2.0\%$ decrease in charge. $$\Delta Q=0.020Q$$ $$\Delta t=\frac{\Delta Q}{\Delta Q/\Delta t}=\frac{0.020CV}{\Delta Q/\Delta t }$$ $$\Delta t=\frac{0.020(35\times10^{-15}F)(1.5V)}{0.30\times10^{-15}C/s}=3.5s$$
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