Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 26 - Current and Resistance - Problems - Page 766: 16a

Answer

$5.32\times 10^{5} A/m^2 $

Work Step by Step

It is given that: $(R/L) $=$0.150\ \frac{\Omega}{km}$ Resistance of the wire is given by; $R = \rho \frac{L}{A} $ $A=\frac{\rho L}{R}$ $A=\frac{\rho}{(R/L)}$ Current density of copper is given by $J=\frac{i}{A}$ $J=\frac{iR}{\rho L}$ $J=\frac{(60\ A)(0.150 \Omega.m)}{(1.69\times 10^{-8}\Omega/km)}=5.32\times 10^{5} A/m^2 $
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