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: 20

Answer

$C_{1}=3.85*10^{-12}F$.

Work Step by Step

Given $\frac{1}{C}=\frac{1}{C_{1}}+\frac{1}{C_{2}}+\frac{1}{C_{3}}$ $C=1.75*10^{-12}F, C_{1}=?, C_{2}=7.25*10^{-12}F, C_{3}=5.75*10^{-12}F$ $\frac{1}{1.75*10^{-12}}=\frac{1}{C_{1}}+\frac{1}{7.25*10^{-12}}+\frac{1}{5.75*10^{-12}}$ $\frac{1}{C_{1}}=\frac{10^{12}}{1.75}-(\frac{10^{12}}{7.25}+\frac{10^{12}}{5.75})$ $\frac{1}{C_{1}}=10^{12}(\frac{1}{1.75}-(\frac{1}{7.25}+\frac{1}{5.75}))$ Therefore, $C_{1}=3.85*10^{-12}$ How to use the calculator: $1.75*x^{-1}-7.25*x^{-1}-5.75*x^{-1}=x^{-1}=$
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