An aluminum wire with a diameter of 0.095 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The temperature of the wire is 55.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in n· m) of aluminum at this temperature. p = Ω. m (b) What is the current density (in MA/m2) in the wire? 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? Va = um/s (e) What potential difference must exist between the ends of a 1.50 m length of the wire to produce the stated electric field? AV = 0.322

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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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 0.095 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The temperature of the wire is 55.0°C. Assume one free electron per atom.
(a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in n. 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 =
(d) What is the drift speed of the conduction electrons?
Va =
um/s
(e) What potential difference must exist between the ends of a 1.50 m length of the wire to produce the stated electric field?
AV = 0.322
V
Transcribed Image Text:An aluminum wire with a diameter of 0.095 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The temperature of the wire is 55.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in n. 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 = (d) What is the drift speed of the conduction electrons? Va = um/s (e) What potential difference must exist between the ends of a 1.50 m length of the wire to produce the stated electric field? AV = 0.322 V
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