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

University Physics Volume 2
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Chapter9: Current And Resistance
Section: Chapter Questions
Problem 46P: An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C...
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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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