Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 30 - Current and Resistance - Exercises and Problems - Page 890: 66

Answer

${\bf 0.87}\;\rm V$

Work Step by Step

We know, according to Ohm's law, that $$\Delta V=IR$$ where $R=\rho L/A$ and $A=\pi r^2=\pi D^2/4$ where $D$ is the diameter. $$\Delta V=I\dfrac{4\rho_{\rm copper} L}{\pi D^2}$$ Thus, Plug the known; $$\Delta V=(8)\dfrac{4(1.7\times 10^{-8})(20)}{\pi (2\times 10^{-3})^2}$$ $$\Delta V=\color{red}{\bf 0.866}\;\rm V$$
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