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Energy efficiency - class-X online quiz
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A line having a total resistance of $0.5 \Omega$ delivers $15$kW at $240$ volt to a small factory. The efficiency of transmission will be :
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A
$88.5\%$
💡 Explanation:
The current delivered is I = P/V = 15000 / 240 = 62.5 A. The power lost in the transmission line is P_loss = I^2 * R = (62.5)^2 * 0.5 = 1953.125 W. The input power is P_in = P_out + P_loss = 15000 + 1953.125 = 16953.125 W, yielding an efficiency of (15000 / 16953.125) * 100 = 88.5 percent.