Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 29 - Potential and Field - Exercises and Problems - Page 866: 82

Answer

$2C$

Work Step by Step

The best way to solve this problem is graphically, as we see in the figure below. Noting that $C_1=C_2=C_3=C_4=C_5=C_6=C$. It is obvious that the right arrangement is easier to figure out than the left, so we will continue with the right one. There are no current passes through $C_5$ since $V_3-V_4=0$. Also note that the bottom 5 capacitors will make a balanced Wheatstone bridge circuit and the equivalent capacitance is $C$. Hence the net equivalent capacitance is $2C$. $$\boxed{C_{eq}=2C}$$
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