Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 19 - DC Circuits - Problems - Page 554: 44

Answer

See answer.

Work Step by Step

From the diagram, $C_1$ and $C_2$ are in parallel. They form an equivalent capacitance of $C_{12}=C_1+C_2$. From the diagram, $C_3$ and $C_4$ are in parallel. They form an equivalent capacitance of $C_{34}=C_3+C_4$. These 2 combinations are in series with each other. Find the equivalent capacitance: $$\frac{1}{C_{ab}}=\frac{1}{C_{12}}+\frac{1}{C_{34}}=\frac{1}{ C_1+C_2}+\frac{1}{ C_3+C_4}$$ $$C_{ab}=\frac{( C_1+C_2)( C_3+C_4)}{ C_1+C_2+ C_3+C_4}$$
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