An electric power line having total resistance of 2 Ω, delivers 1 kW of power at 250 V. The percentage efficiency of transmission line is ______. (a) 96.9 (b) 92.5 (c) 86.5 (d) 100

Answer: (a). Line current: I = P/V = 1000/250 = 4 A. Line loss: I² R = 16 × 2 = 32 W. η = (1000)/(1000 + 32) × 100 = 96.9%. So the answer is (a) 96.9.

An electric power line having total resistance of 2 Ω, delivers 1 kW… | JEE Main 2026 (22 Jan, Shift 2)

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Electrical Power & Heating Effect

An electric power line having total resistance of $2\ \Omega$ , delivers 1 kW of power at 250 V. The percentage efficiency of transmission line is ______.

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Answer: (a)

Line current: $I = P/V = 1000/250 = 4\text{ A}$ .
Line loss: $I^2 R = 16 \times 2 = 32\text{ W}$ .
$\eta = \dfrac{1000}{1000 + 32} \times 100 = 96.9\%$ .
So the answer is (a) 96.9.

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