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Answer:
t = 166 years
Explanation:
In order to calculate the amount of years that electrons take to cross the complete transmission line. You first calculate the drift speed of the electrons by using the following formula:
(1)
I: current on the wire = 1,010A
n: free charge density = 8.50*10^28 electrons/m^3
A: cross-sectional area of the transmission line = π*r^2
r: radius of the cross-sectional area = 2.00cm = 0.02m
You replace the values of the parameters in the equation (1):
Next, you use the following formula:
(2)
x: length of the line transmission = 310km = 310,000m
You replace the values of vd and x in the equation (2):
Finally, you convert the obtained t to seconds
The electrons take approximately 166 years to travel trough the complete transmission line