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⚛️ Physics  ·  Electromagnetic Induction  ·  NEET & JEE

A coil of 100 turns and area 0.02 m<sup>2</sup> rotates at 50 Hz in a magnetic field of 0.3 T. The rms value of its induced emf is approximately:

Answer: 133.3 V.

  • A 94.2 V
  • B 133.3 V
  • C 188.5 V
  • D 66.7 V

Correct answer: B. 133.3 V

Explanation: Peak emf = 2&pi;fNBA = 188.5 V. Therefore E<sub>rms</sub> = E<sub>0</sub>/&radic;2 = 133.3 V.

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 →