Electrical Engineering: Principles & Applications (6th Edition)

Published by Prentice Hall
ISBN 10: 0133116646
ISBN 13: 978-0-13311-664-9

Chapter 1 - 1.6 - Problems - Introduction to Circuit Elements: P1.52

Answer

a. Resistance of wire is given as $R=\rho\times L\times A$ For equal sized wires of length L and cross section A, but different values of resistivity, $\frac{R_{Al}}{R_{Cu}}=\frac{\rho_{Al}}{\rho_{Cu}}$ b. $R_{Al}=2.38\Omega$

Work Step by Step

b. Use equation found in part a, solve for resistance of copper wire: $R_{Al}=R_{Cu}\times\frac{\rho_{Al}}{\rho_{Cu}}$ $R_{Al}=1.5\Omega\times\frac{2.73E-8}{1.72E-8}=2.38\Omega$
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