An aluminum wire with a diameter of 0.115 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The temperature of the wire is 45.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in 2 m) of aluminum at this temperature. Ω· m p= (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
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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 0.115 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The
temperature of the wire is 45.0°C. Assume one free electron per atom.
(a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in 2 m) of
aluminum at this temperature.
P =
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?
μm/s
Vd
=
(e) What potential difference must exist between the ends of a 2.50 m length of the wire to produce the stated electric field?
ΔV =
V
Transcribed Image Text:An aluminum wire with a diameter of 0.115 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The temperature of the wire is 45.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in 2 m) of aluminum at this temperature. P = 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? μm/s Vd = (e) What potential difference must exist between the ends of a 2.50 m length of the wire to produce the stated electric field? ΔV = V
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