An aluminum wire with a diameter of 0.125 mm has a uniform electric field of 0.255 V/m imposed along its entire length. The temperature of the wire is 35.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in Ω · m) of aluminum at this temperature. ρ =  Ω · m (b) What is the current density (in MA/m2) in the wire? J =  MA/m2 (c) What is the total current (in mA) in the wire? I =  mA

University Physics Volume 2
18th Edition
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Chapter9: Current And Resistance
Section: Chapter Questions
Problem 28P: An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the...
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An aluminum wire with a diameter of 0.125 mm has a uniform electric field of 0.255 V/m imposed along its entire length. The temperature of the wire is 35.0°C. Assume one free electron per atom.
(a)
Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in Ω · m) of aluminum at this temperature.
ρ =  Ω · m
(b)
What is the current density (in MA/m2) in the wire?
J =  MA/m2
(c)
What is the total current (in mA) in the wire?
I =  mA
(d)
What is the drift speed of the conduction electrons?
vd =  µm/s
(e)
What potential difference must exist between the ends of a 1.90 m length of the wire to produce the stated electric field?
ΔV =  V
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