Question

powerline (resistance of 1 Ohm) between a power plant and the next town is operated at o KV and transports a power of 44 MW. (a) The power consumption of the powerline is Illal MW. If .The highvoltage voltage ne would be operated at 11 kV, the power consumption would be Lllb] MW.(Note: Ignore the reduced voltage due to the powerline)

Answer 1

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V = 110 kv P = 44MW I = P/V = 44 times 10^6/110 times 10^3 = 400 A therefore power consumption = I^2 R = (400)^2 1 = 160000 W = 0.16 MW If V = 11kv P = 44 MW I = 44 times 10^6/11 times 10^3 = 4000 A Power consumption = I^2 R = (4000)^2 (1) = 16000000 w = 16 MW