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Transcribed Image Text:Copper is used in all household wiring. However, Aluminum, being much cheaper, is used in power distribution over large distances. The resistivity of Cu
wire is 1.68x10-8 m and the resistivity of Aluminum wire is 2.65x108 2m. A typical power line might be 4.6 cm in diameter. Power lines transmit power at
very high voltages so that relativley small current can be used.
What is the power loss in a single line of Aluminum carrying a current of 140 A through a distance of 220 km?
Number
W.
What is the power loss in a single line of Copper carrying a current of 140 A through a distance of 220 km?
Number
W.
If the average cost of electricity in Ontario is $0.125 per kWh, the cost of copper is 12.6 dollars /kg, and the cost of Aluminum is 4 dollars/kg, how much time
of continuous power transmission is required/(km of line) before the cost savings during use balances the extra cost of using copper. The density of Aluminum
is 2700kg/m³ and the density of copper is 8960 kg/m³.
Number
years.
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