Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.9 - Reciprocal Formulas Using a Calculator - Exercises - Page 262: 21

Answer

$C=1.74*10^{-8}F$.

Work Step by Step

Given $\frac{1}{C}=\frac{1}{C_{1}}+\frac{1}{C_{2}}+\frac{1}{C_{3}}$ $C=?, C_{1}=6.56*10^{-7}, C_{2}=5.05*10^{-6}F, C_{3}=1.79*10^{-8}F$ $\frac{1}{C}=\frac{1}{6.56*10^{-7}}+\frac{1}{5.05*10^{-6}}+\frac{1}{1.79*10^{-8}}$ $\frac{1}{C}=\frac{10^{7}}{6.56}+\frac{10^{6}}{5.05}+\frac{10^{8}}{1.79}$ $\frac{1}{C}=10^{6}(\frac{1}{0.656}+\frac{1}{5.05}+\frac{1}{0.0179})$ Therefore, $C=0.0173646*10^{-6}~F\approx 1.74*10^{-8}~F$ How to use the calculator: $0.656*x^{-1}+5.05*x^{-1}+0.0179*x^{-1}=x^{-1}=$
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