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What is the current in the that period? Assume the gold ions carry one unit of p

ID: 1531872 • Letter: W

Question

What is the current in the that period? Assume the gold ions carry one unit of positive charge. 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 a free charge density of 8.5 times 10^28 electrons per cubic meter, how many years does it take one electron to travel the full length of the cable? An aluminum wire having a cross-sectional area of 4.00 times 10^-6 m^2 carries a current of 5.00 A. The density of aluminum is 2.70 g/cm^3. Assume each aluminum supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. An iron wire has a cross-sectional area of 5.00 times

Explanation / Answer

drift speed of electron v = I/(n*eA)


I = current flowing in wire

n = free charge density = 8.5*10^28

A = area of cross section = pi*D^2/4

D = diameter = 2 cm = 0.02 m

e = charge of electron

v = 1/(8.5*10^28*1.6*10^-19*pi*0.02^2/4)

v = 2.34*10^-7 m/s

time taken = L/v = 200*10^3/(2.34*10^-7) = 854700854700.85474 s

1 year = 365 days = 365*24 hr = 365*24*60*60 s


t = 854700854700.85474/(365*24*60*60 )


t = 27102.4 years <<<<=======answer

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