Fundamentals of Electrical Engineering

Published by McGraw-Hill Education
ISBN 10: 0073380377
ISBN 13: 978-0-07338-037-7

Chapter 2 - Fundamentals of Electric Circuits - Part 1 Circuits - Homework Problems - Page 53: 2.24

Answer

element A absorbs power and has $P_A=-20\ W$ element B absorbs power and has $P_B=12\ W$ element C absorbs power and has $P_C=-4\ W$ element D absorbs power and has $P_D=12\ W$ Total delivered power $=24\ W$ Total absorbed power $=-24\ W$

Work Step by Step

- Assuming the directions/polarities are correct, an element absorbs power if current enters the positive pole of the voltage, and delivers power if current leaves the positive pole of the voltage For element A: current enters the positive pole of voltage; thus, power is absorbed $P_A=-4\times 5=-20\ W$ For element B: current leaves the positive pole of voltage; thus, power is delivered $P_B=6\times 2=12\ W$ For element C: current enters the positive pole of voltage; thus, power is absorbed $P_C=-2\times 2=-4\ W$ For element D: current leaves the positive pole of voltage; thus, power is delivered $P_D=4\times 3=12\ W$ Total delivered power$ = P_B+P_D=12+12=24\ W$ Total absorbed power$ = P_A+P_C=-20-4=-24\ W$
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