Question

What would be the ratio of power loss of a transmission line carrying 1,000 amperes at 1,000 volts as compared to 10 amperes at 100 kilovolts? assume a resistance of 1 ohm on the transmission line?

Answer 1

Since power loss is proportional to the square of the current, the loss ratio is the square of the current ratio:

... ((1000 A)/(10 A))² = 100² = 10⁴ . . . ratio of power losses

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Please note that the voltage drop in a 1 Ω line carrying 1000 A is 1000 V, the nominal voltage impressed on the line. Hence it would actually deliver no power at all.