The diameter of 0-gauge copper wire is 8.252 mm. Find the resistance of a 1.00-km length of such wire used for power transmission, taking into account the thermal expansion of the tungsten filament. You may assume a thermal expansion coefficient of 12×10−6/C. By what percentage does your answer differ from the one you get without taking the thermal expansion into account? a) 4.5Ω (total), 7.1% decrease b) 0.34Ω (total), 93% decrease c) 4.7Ω (total), 3.0% decrease d) 5.0Ω (total), 4.2% increase

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 14P
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The diameter of 0-gauge copper wire is 8.252 mm. Find the resistance of a 1.00-km length of such wire used for power transmission, taking into account the thermal expansion of the tungsten filament. You may assume a thermal expansion coefficient of 12×10−6/C. By what percentage does your answer differ from the one you get without taking the thermal expansion into account?

a) 4.5Ω (total), 7.1% decrease
b) 0.34Ω (total), 93% decrease
c) 4.7Ω (total), 3.0% decrease
d) 5.0Ω (total), 4.2% increase
 
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