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The resistivity of a metal increases slightly with increased temperature. This can be expressed as P= Po|1 + a(T-To) where To is a reference temperature, usually 20°C, and is the temperature coefficient of relativity PartA First find an expression for the current I through a wire of length L. cross-section area A. and temperature T when connected across the terminals of an ideal battery with terminal voltage AV. Then, because the change in resistance is small, use the binomial approximation to simplify your expression. Your final expression should have the temperature coefficienta in the numerator Express your answer in terms of L. A.T.T. AV, and a View Available Hint(s) 1. Submit Part B τύπ ▾ Part C ΑΣΦ For copper-3.9x10C-Suppose 25-m-long. 0.40-mm-diameter copper wire is connected across the terminals of a 1.5 V ideal battery. What is the current in the wire at 20°C Express your answer with the appropriate units. View Available Hint(s) Submit T VÀ Đ Value A 013? ? Units What is the rate in A/C, at which the current changes with temperature as the wire heats up? View Available Hint(s) Η ΑΣΦ 013? A/C

The resistivity of a metal increases slightly with increased temperature. This can be expressed as P= Po|1 + a(T-To) where To is a reference temperature, usually 20°C, and is the temperature coefficient of relativity PartA First find an expression for the current I through a wire of length L. cross-section area A. and temperature T when connected across the terminals of an ideal battery with terminal voltage AV. Then, because the change in resistance is small, use the binomial approximation to simplify your expression. Your final expression should have the temperature coefficienta in the numerator Express your answer in terms of L. A.T.T. AV, and a View Available Hint(s) 1. Submit Part B τύπ ▾ Part C ΑΣΦ For copper-3.9x10C-Suppose 25-m-long. 0.40-mm-diameter copper wire is connected across the terminals of a 1.5 V ideal battery. What is the current in the wire at 20°C Express your answer with the appropriate units. View Available Hint(s) Submit T VÀ Đ Value A 013? ? Units What is the rate in A/C, at which the current changes with temperature as the wire heats up? View Available Hint(s) Η ΑΣΦ 013? A/C

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The resistivity of a metal increases slightly with increased temperature. This can be expressed as P= Po[1 + a(T-To)]. where To is a reference temperature, usually 20° C. and is the temperature coefficient of resistivity. ▾ Part A First find an expression for the current I through a wire of length L. cross-section area A. and temperature T when connected across the terminals of an ideal battery with terminal voltage AV. Then, because the change in resistance is small, use the binomial approximation to simplify your expression. Your final expression should have the temperature coefficient in the numerator. Express your answer in terms of L, A, T, TO, AV, po, and a. ► View Available Hint(s) I = Submit Part B For copper, α = 3.9x10°C-¹. Suppose 2.5-m-long, 0.40-mm-diameter copper wire is connected across the terminals of a 1.5 V ideal battery. What is the current in the wire at 20°C? Express your answer with the appropriate units. ► View Available Hint(s) Submit I= Value Part C ΠΙΑΣΦΑ dT μA Submit Units What is the rate, in A/°C, at which the current changes with temperature as the wire heats up? ▸ View Available Hint(s) ΠΙΑΣΦ 4 ? ? p ? A/°C Activate Windows
Transcribed Image Text:The resistivity of a metal increases slightly with increased temperature. This can be expressed as P= Po[1 + a(T-To)]. where To is a reference temperature, usually 20° C. and is the temperature coefficient of resistivity. ▾ Part A First find an expression for the current I through a wire of length L. cross-section area A. and temperature T when connected across the terminals of an ideal battery with terminal voltage AV. Then, because the change in resistance is small, use the binomial approximation to simplify your expression. Your final expression should have the temperature coefficient in the numerator. Express your answer in terms of L, A, T, TO, AV, po, and a. ► View Available Hint(s) I = Submit Part B For copper, α = 3.9x10°C-¹. Suppose 2.5-m-long, 0.40-mm-diameter copper wire is connected across the terminals of a 1.5 V ideal battery. What is the current in the wire at 20°C? Express your answer with the appropriate units. ► View Available Hint(s) Submit I= Value Part C ΠΙΑΣΦΑ dT μA Submit Units What is the rate, in A/°C, at which the current changes with temperature as the wire heats up? ▸ View Available Hint(s) ΠΙΑΣΦ 4 ? ? p ? A/°C Activate Windows
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