Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 27 - Current and Resistance - Exercises and Problems - Page 764: 49

Answer

At $71^{\circ}C$ the resistance of the wire is $0.30 Ω$

Work Step by Step

$ρ = ρ_{^{\circ}}[1+ \alpha (T-T_{^{\circ}})]$ Substitute the values in the above equation with given values, $0.30Ω = 0.25Ω [1 + 3.9 \times (10^{-3})^{\circ}C^{-1}(T - 20^{\circ}C)]$ Solve for T $T = 71.28^{\circ}C \approx 71^{\circ}C$
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