E A high voltage transmission line of diameter 3.73 cm and length 3.76189 km carries a steady current of 1.9 x103 A. If the conductor is copper with a free charge density of 6 x 1028 electrons/m³, how long (in seconds ) does it take one electron to travel the full length of the cable? (e = 1.6 x 10-19 C).For this problem use scientific/exponential notation to represent your %3D answer. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed. T

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 20PQ
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E A high voltage transmission line of
diameter 3.73 cm and length 3.76189 km carries a steady current of 1.9 x103 A. If the conductor is copper with
a free charge density of 6 x 1028 electrons/m³, how long (in seconds ) does it take one electron to travel the full
length of the cable? (e = 1.6 x 10-19 C).For this problem use scientific/exponential notation to represent your
%3D
answer. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed. T
Transcribed Image Text:E A high voltage transmission line of diameter 3.73 cm and length 3.76189 km carries a steady current of 1.9 x103 A. If the conductor is copper with a free charge density of 6 x 1028 electrons/m³, how long (in seconds ) does it take one electron to travel the full length of the cable? (e = 1.6 x 10-19 C).For this problem use scientific/exponential notation to represent your %3D answer. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed. T
Expert Solution
Step 1

The expression for drift speed is

vd=InqA=Inqπd24

Time needed to travel the length is

t=Lvd=Lnqπd24I

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