Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 28 - Fundamentals of Circuits - Exercises and Problems - Page 792: 43

Answer

The 6Ω, 3Ω are connected in parallel and the 2Ω resistor is connected in series to this

Work Step by Step

Power loss across resistors can be taken by the equation, $$P=\frac{V^{2}}{R}$$ $9W= \frac{(6V)^{2}}{R}$ $R = 4Ω$ Since the three resistors provided are $6Ω$, $3Ω$ and $2Ω$ an equivalent resistance of $4Ω$ can be taken by having the $6Ω$ and $3Ω$ resistors in parallel and having $2Ω$ resistor in series to these $R_{eq}=\frac{6Ω\times3Ω}{ (6 + 3)Ω} + 2Ω = 4Ω$
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