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A 200-km-long high voltage transmission line 2.0 cm in diameter carries a steady current of 1,000 A. If the conductor is copper with free charge density of 8.5 x 10^28 electrons per cubic meter, how long(in years) does it take an electron to travel the full length of the cable?
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Radius R= diameter/2 = 2/2 = 1cm = 0.01 m
current I = 1000 A
pho = 8.5x10^28 electrons/cubic meter

drift velocity, V = I/(n*e*A)

= 1000/(8.5*10^28*1.6*10^-19*3.14*1^2*10^-4)

= 23.41*10^-5 m/s

Given Distance d = 200 km = 200000
t = d/v

= 2x10^5 /23.41 *10^-5

= 8.54*10^8 sec

= 8.54*10^8/3.156*10^7

time t = 27.07 years
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