A long distance power line is to carry 175 megawatts (1.25x10^8W) of alternating

Question

A long distance power line is to carry 175 megawatts (1.25x10^8W) of alternating current power at distance of 15.0km at a peak voltage of 1.00MV and a frequency of 60Hz. A) What must be the diameter of a copper, and an aluminum, cable so that the loss of power to heat due to resistance in the wires be no more than 1%? B) If aluminum costs $1.82/kg, and copper $2.96/kg, and towers that can support 50 tons each, what will be the total cost of the cables and the towers supporting the cables? Would you recommend copper or aluminum as the material in the wires? C) If the power is to be distributed to neighborhoods from the long distance line at 440V, and the low voltage end of a transformed has has 1000 turns in its coil. how many turns must there be in the high voltage end?

Explanation / Answer

from the given data u can easily find the resistence by P = V*V/R... and then from R = rho*l/A....u can easily find the area and then diameter of the wire....

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