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A line having a total resistance of $0.5\Omega$ delivers $\mathrm{15\: kW}$ at $\mathrm{240W}$ to a small factory.The efficiency of transmission is nearly -
Option: 1
$78%$

Option: 2
$89%$

Option: 3
$68%$

Option: 4
$97%$

Answers (1)

best_answer

we know that, $\mathrm{p=I \times V}$

$\mathrm{I =\frac{\rho}{V}=\frac{15 \times 10^3}{240} }$

$\mathrm{I =62.5 \mathrm{~A} }$ ------------(1)

$\mathrm{\text { Loss }=i^2 R =(62.5)^2 \times 0.5 }$

$\mathrm{ =2 \times 10^3 \mathrm{w}=2 \mathrm{~kW} }$

Power produced $\mathrm{ =(15+2) \mathrm{kw}=17 \mathrm{~kW}}$

Efficiency $\mathrm{ =\frac{P_{\text {out }}}{P_{\text {in }}} \times 100 }$

$\mathrm{ =\frac{15}{17} \times 100=89 \% }$

Hence option 2 is correct.

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Anam Khan

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