If the wire carries a current of 3.18 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 x 102⁹ electrons/m³.) m/s For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 102⁹ electrons/m³.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter9: Current And Resistance
Section: Chapter Questions
Problem 31P: Consider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the...
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A copper wire has a circular cross section with a radius of 1.66 mm.
HINT
(a) If the wire carries a current of 3.18 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be
n = 1.10 x 102⁹ electrons/m³.)
m/s
(b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 1029 electrons/m³.
m/s
Transcribed Image Text:A copper wire has a circular cross section with a radius of 1.66 mm. HINT (a) If the wire carries a current of 3.18 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 x 102⁹ electrons/m³.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 1029 electrons/m³. m/s
Expert Solution
Step 1

Given:

Radius of copper wire r=1.66 mm =1.66×10-3 m

Current it carries I= 3.18 A

n= 1.10×1029 electrons/m3

 

 

 

 

 

To calculate,

 Drift speed

drift speed for the aluminum wire

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