If a line having a total resistance 0.252 delivers 10 kW at 250 volts to a small factory, then efficiency of transmission is

97%

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87%

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83%

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76%

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Solution

The correct option is A 97%
Resistance $= 0.252 Ω$ ,Power $= 10 K W$ , $V = 250$ volts
Power lost $= i^{2} R$ $= [\frac{10000}{250}]^{2} \times 0.2$ $= 320 w a t t$ $= 0.32 K W$

Efficiency $= \frac{P o w e r d e l i v e r e d b y l i n e}{P o w e r s u p p l i e d t o l i n e}$

$= \frac{10 K W}{(10 + 0.32) K W} = 0.97 = 97$ %

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