Elementary Technical Mathematics

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

Chapter 6 - Test - Page 264: 19


$$C_1=60 \ \mu F.$$

Work Step by Step

First, we have $$\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}\Longrightarrow \frac{1}{C_1}=\frac{1}{C}-\frac{1}{C_2}.$$ Now, by substituting, we have $$\frac{1}{C_1}=\frac{1}{20}-\frac{1}{30}=\frac{3}{60}-\frac{2}{60}=\frac{1}{60}$$ Hence, we get $$C_1=60 \ \mu F.$$
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