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TS EAMCET · Physics · Alternating Current

A generator produces a current of \(100 \mathrm{~A}\) at \(4000 \mathrm{~V}\). The voltage is stepped up to \(2 \times 10^5 \mathrm{~V}\) by a transformer before being sent on a high voltage transmission line of resistance \(50 \Omega\). The percentage of power loss in the transmission line is

  1. A \(0.25 \%\)
  2. B \(0.05 \%\)
  3. C \(1.25 \%\)
  4. D \(0.02 \%\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.05 \%\)

Step-by-step Solution

Detailed explanation

\(P_{\text{gen}} = V_{\text{gen}} I_{\text{gen}} = 4000 \mathrm{~V} \times 100 \mathrm{~A} = 4 \times 10^5 \mathrm{~W}\) \(I_{\text{line}} = P_{\text{gen}} / V_{\text{stepped-up}} = (4 \times 10^5 \mathrm{~W}) / (2 \times 10^5 \mathrm{~V}) = 2 \mathrm{~A}\)…
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