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Q.

An electric power line, having a total resistance of $2 Ω,$ delivers 1kW at 220V. The efficiency of the transmission line is approximately

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a

96%

b

91%

c

85%

d

72%

answer is B.

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Detailed Solution

$P = V i \Rightarrow i = \frac{P}{V} = \frac{1000}{220} A$
Power loss, $P_{l o s s} = i^{2} R = {(\frac{50}{11})}^{2} \times 2$
Efficiency $η = \frac{1000}{1000 + P_{l o s s}} \times 100$
$η = \frac{1000}{1000 + ({(\frac{50}{11})}^{2} \times 2)} \times 100 = 96 %$

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