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 - Stop to Think 28.3 - Page 773: 1


$P_b < P_d < P_a < P_c$

Work Step by Step

Recall that $P = I\Delta V = I^2R = \displaystyle \frac{\Delta V^2}{R}$ Plugging in the given values to find the power of each resistor, we get: a.) $\displaystyle P_a = \frac{\Delta V^2}{R}$ b.) $\displaystyle P_b = \frac{(2\Delta V^2)}{R} = \frac{4\Delta V^2}{R}$ c.) $\displaystyle P_c = \frac{\Delta V^2}{(2R)} = \frac{\Delta V^2}{2R}$ d.) $\displaystyle P_d = \frac{\Delta V^2}{\frac{1}{2}R} = \frac{2\Delta V^2}{R}$ So in order of largest to smallest power, we get: $P_b < P_d < P_a < P_c$
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