Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 684: 43


$20 \space ohm$

Work Step by Step

Since, the resistances are connected in parallel combination. Formula to calculate the total resistance, we have $\frac{1}{R_{total}}=\frac{1}{R_1}+\frac{1}{R_2}$ As we are given that $R_1=30 \space ohm$ and $R_{total}=12 \space ohm $ Thus, $\frac{1}{R_{total}}=\frac{1}{R_1}+\frac{1}{R_2}$ $\frac{1}{12}=\frac{1}{30}+\frac{1}{R_2}$ $\frac{1}{R_2}=\frac{1}{12}-\frac{1}{30}$ $R_2=20 \space ohm$
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