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 758: 73

Answer

(a) $23\mu F$ (b) the $15\mu F$ capacitor (c) $Q_{7.5\mu F}=110\mu C, Q_{15\mu F}=230\mu C$

Work Step by Step

(a) We know that the equivalent capacitance is given as $C=C_1+C_2$ $C=7.5\times 10^{-6}F+15\times 10^{-6}F=23\times 10^{-6}F=23\mu F$ (b) We know that $Q=CV$. This equation shows that the charge stored on the capacitor depends on the capacitance of the capacitor. Therefore, the larger capacitance $C_2=15\mu F$ will store more charge. (c) We know that $Q=C_1V$ $\implies Q=(7.5\times 10^{-6}F)(15.0V)$ $Q=110\mu F$ Similarly $Q=C_2V$ $\implies Q=(15\times 10^{-6}F)(15.0V)$ $Q=230\mu F$
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