A 411-km-long high-voltage transmission line 7.00 cm in diameter carries a steady current of 1,900 A. If the conductor is copper with a free charge density of 8.50 × 102º electrons per cubic meter, how many years does it take one electron to travel the full length of the cable?

A 411-km-long high-voltage transmission line 7.00 cm in diameter carries a steady current of 1,900 A. If the conductor is copper with a free charge density of 8.50 × 102º electrons per cubic meter, how many years does it take one electron to travel the full length of the cable?

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter12: Relativity, Particle Physics, And Cosmology

Section: Chapter Questions

Problem 40Q

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Question

Please calculate for me.

A 411-km-long high-voltage transmission line 7.00 cm in diameter carries a steady current of 1,900 A. If the
conductor is copper with a free charge density of 8.50 x 102° electrons per cubic meter, how many years does
it take one electron to travel the full length of the cable?

(3) Based on the correct choice in question (2), substitute numerical values to find the time interval required
for one electron to travel the length of the wire.
n neld?
At =
4
I
x 1028 m-3)(1.60 ×
19
10
n)( [0.07
8.5
411000
m
%D
1900
A
1 yr
107 s
3.156 х
S
yr

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