A length of metal wire has a radius of 5.00 x 10-3 m and aresistance of 0.100 Ω. When the potential difference acrossthe wire is 15.0 V, the electron drift speed is found to be 3.17 x10-4 m/s. On the basis of these data, calculate the density offree electrons in the wire

A length of metal wire has a radius of 5.00 x 10-3 m and aresistance of 0.100 Ω. When the potential difference acrossthe wire is 15.0 V, the electron drift speed is found to be 3.17 x10-4 m/s. On the basis of these data, calculate the density offree electrons in the wire

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 69PQ

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Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

A length of metal wire has a radius of 5.00 x 10^-3 m and a
resistance of 0.100 Ω. When the potential difference across
the wire is 15.0 V, the electron drift speed is found to be 3.17 x
10^-4 m/s. On the basis of these data, calculate the density of
free electrons in the wire

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