Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 26 - Potential and Field - Exercises and Problems - Page 740: 55


(a) $C_{eq} = N\times C$ (b) $C_{eq} = \frac{C}{N}$

Work Step by Step

(a) We can find the equivalent capacitance $C_{eq}$: $C_{eq} = C + C +...+ C~~~$ (Note that $C$ is added $N$ times) $C_{eq} = N\times C$ (b) We can find the equivalent capacitance $C_{eq}$: $\frac{1}{C_{eq}} = \frac{1}{C} + \frac{1}{C} +...+ \frac{1}{C}~~~$ (Note that $ \frac{1}{C}$ is added $N$ times) $\frac{1}{C_{eq}} = \frac{N}{C}$ $C_{eq} = \frac{C}{N}$
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