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: 39

Answer

$3.71\times10^{-6}F$

Work Step by Step

When capacitors are wired in series, we use equation 19–6 to find the equivalent capacitance. $$\frac{1}{C_{eq}}=\frac{1}{3.00\times10^{-6}F }+\frac{1}{4.00\times10^{-6}F} $$ $$C_{eq}=1.714\times10^{-6}F $$ This combination is then wired in parallel with a third capacitor, so we use equation 19–5 to find the final equivalent capacitance. $$C_{eq}=1.714\times10^{-6}F +2.00\times10^{-6}F $$ $$=3.71\times10^{-6}F$$
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