College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 16 - Electric Potential, Energy, and Capacitance - Learning Path Questions and Exercises - Exercises - Page 593: 41

Answer

2.2 V

Work Step by Step

Energy $E=Power\times time=0.50\,W\times5.0\,s=2.5\,J$ The expression connecting energy with the terminal voltage is $E=\frac{1}{2}CV^{2}$ $\implies V=\sqrt {\frac{2E}{C}}=\sqrt {\frac{2\times2.5\,J}{1.0\,F}}=2.2\,V$
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