When a straight wire is heated, its resistance changes according to the equation R = R 0?

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When a straight wire is heated, its resistance changes according to the equation

R = R0?[1 + ?(T ? T0)]

(Eq. 17.7), where is the temperature coefficient of resistivity.

(a) Show that a more precise result, which includes the fact that the length and area of a wire change when it is heated, is

image

where ?? is the coefficient of linear expansion.

(b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0?C and heated to 100.0?C.

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College Physics

ISBN: 978-0495113690

7th Edition

Authors: Raymond A. Serway, Jerry S. Faughn, Chris Vuille, Charles A. Bennett

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