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⚛️ Physics  ·  Electromagnetic Induction  ·  NEET & JEE

A generator has 200 turns, each of area 0.001 m<sup>2</sup>, and rotates at 50 Hz in a magnetic field of 0.5 T. Its coil resistance is 10 &Omega; and it is connected to a 10 &Omega; load. The power delivered to the load is approximately:

Answer: 12.3 W.

  • A 6.17 W
  • B 24.7 W
  • C 12.3 W
  • D 49.4 W

Correct answer: C. 12.3 W

Explanation: E<sub>0</sub> = 2&pi;fNBA = 2&pi; &times; 50 &times; 200 &times; 0.5 &times; 0.001 = 31.4 V, so E<sub>rms</sub> = 22.2 V. Total resistance is 20 &Omega;, giving I = 1.11 A. Load power = I<sup>2</sup>R = 12.3 W.

EMF is Induced Only While Flux is ChangingΦmagnet approachingmagnet stationary inside coilEMFEMF ≠ 0 (flux changing)EMF = 0 (flux constant)t

As a magnet approaches a coil, flux rises steadily and a constant non-zero EMF is induced (Faraday's law). Once the magnet stops moving, flux stays constant and the induced EMF drops to zero - EMF only exists while flux is actively changing.

Concept context

Faraday's and Lenz's laws, motional EMF, self/mutual inductance, eddy currents, and the AC generator - how a changing magnetic flux creates an electric current.

Read the full Electromagnetic Induction notes →