Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 21 - Electric Current and Direct-Current Circuits - Problems and Conceptual Exercises - Page 760: 102

Answer

a) $\frac{2V}{3}$ b) $\frac{-2CV}{3}$ c) $\frac{2CV}{3}$

Work Step by Step

(a) We know that the voltage across $ C_1$ is $\frac{2V}{3}$. The two capacitors have the same charge, and hence the smaller capacitor will have the larger voltage. (b) The equivalent capacitance of $ C_1$ and $ C_2$ in series is $\frac{2C}{3}$. Hence, the charge on the equivalent capacitance is $ Q=C_{eq}V=\frac{2CV}{3}$ and the charge on the right plate of $ C_2$ is $\frac{-2CV}{3}$. (c) We know that the magnitude of the net charge that flowed through the ammeter is actually the magnitude of the charge on each plate of the capacitor, $\frac{2CV}{3}$.
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