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: 43

Answer

Maximum $=1.90\times10^{-8}F$ Minimum $=1.7\times10^{-9}F $

Work Step by Step

The maximum capacitance is achieved when the 3 capacitors are wired in parallel. Use equation 19–5 to find the equivalent capacitance. $$C_{eq}=3200\times10^{-12}F +5800\times10^{-12}F+ 0.0100\times10^{-6}F $$ $$=1.90\times10^{-8}F$$ The minimum capacitance is achieved when the 3 capacitors are wired in series. Use equation 19–6 to find the equivalent capacitance. $$\frac{1}{C_{eq}}=\frac{1}{3200\times10^{-12}F }+\frac{1}{5800\times10^{-12}F }+\frac{1}{0.0100\times10^{-6}F} $$ $$C_{eq}=1.7\times10^{-9}F $$
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