Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 18 - Electric Currents - Problems - Page 522: 42

Answer

22 W

Work Step by Step

Use equation 18–3 to find the resistance. The cross-sectional area $A=\pi r^2=\frac{\pi d^2}{4}$. $$R=\rho\frac{\mathcal{l}}{A}=\rho\frac{4 \mathcal{l}}{\pi d^2}$$ Find the power dissipated in the cord by using equation 18–6a. The length $\mathcal{l}$ is two times 2.7 meters. $$P=I^2R=I^2\rho\frac{4 \mathcal{l}}{\pi d^2}$$ $$=(18.0A)^2(1.68\times10^{-8}\Omega \cdot m)\frac{(4)(2\times2.7m)}{\pi (0.129\times10^{-2}m)^2}$$ $$=22\;watts$$
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