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  • A line having a total resistance of delivers <img alt="\mathrm{15\: kW}" src="https://entrancecorner.oncode

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.

 

Posted by

Anam Khan

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