Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 25 - Capacitance - Problems - Page 743: 57

Answer

The charge on capacitor 4 is $45~\mu C$

Work Step by Step

The equivalent capacitance of $C_3$ and $C_4$ is $15~\mu F+15~\mu F = 30~\mu F$ We can find the equivalent capacitance of the four capacitors: $\frac{1}{C_{eq}} = \frac{1}{30~\mu F}+\frac{1}{30~\mu F}+\frac{1}{30~\mu F}$ $C_{eq} = 10~\mu F$ We can find the charge stored on $C_{eq}$: $q = C_{eq}~V$ $q = (10~\mu F)(9.0~V)$ $q = 90~\mu C$ Then the total charge stored on $C_3$ and $C_4$ is $90~\mu C$ Since $C_3 = C_4$, both $C_3$ and $C_4$ have the same charge. The charge on capacitor 4 is $45~\mu C$
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