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  • An electrical power line, having a total resistance of , delivers

An electrical power line, having a total resistance of 2\; \Omega, delivers1\; kW at 220\; V. The efficiency of the transmission line is approximately : 
Option: 1 72\; ^{o}/_{o}  
Option: 2 91\; ^{o}/_{o}
Option: 3 85\; ^{o}/_{o}
Option: 4 96\; ^{o}/_{o}

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\begin{array}{l} \mathrm{vi}=10^{3} \\ \\ \mathrm{i}=\frac{1000}{220} \\\\ \text { loss }=\mathrm{i}^{2} \mathrm{R}=\left(\frac{50}{11}\right)^{2} \times 2 \\\\ \text { efficiency }=\frac{1000}{1000+\mathrm{i}^{2} \mathrm{R}} \times 100=96 \% \end{array}

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Deependra Verma

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