Physics · Current Electricity

JEE Main 2026 — 22 January, Evening Shift — Question 35

An electric power line having total resistance of 2Ω2 \Omega, delivers 1 kW of power of 250 V . The percentage efficiency of transmission line is ____\_\_\_\_。

  1. Option A:

    96.9

    Correct
  2. Option B:

    86.5

  3. Option C:

    100

  4. Option D:

    92.5

Answer: A

Step-by-step solution

Pout =1000 W\mathrm{P}_{\text {out }}=1000 \mathrm{~W} P=VI\mathrm{P}=\mathrm{VI} 1000=250×I1000=250 \times \mathrm{I} I=4 A\mathrm{I}=4 \mathrm{~A} Ploss =I2R=(4)2×2=3200\mathrm{P}_{\text {loss }}=\mathrm{I}^{2} \mathrm{R}=(4)^{2} \times 2=3200 Pnet =1000+32=103200\mathrm{P}_{\text {net }}=1000+32=103200 η=(Pout Pnet )×100=10001032×100=96.9%\eta=\left(\frac{P_{\text {out }}}{P_{\text {net }}}\right) \times 100=\frac{1000}{1032} \times 100=96.9 \%

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Physics
Chapter
Current Electricity
Topic
Heating Effects of Current and Thermal Powe
An electric power line having total resistance of 2 Ω , delivers 1 kW… | JEE Main 2026 PYQ with Solution · DhiX AI