Physics · Electromagnetic induction: Faraday's law, induced emf and current, Lenz's law, eddy currents, self and mutual inductance

toppr Q Type your question insulated from each other. The entire loop lies in th

toppr Q Type your question insulated from each other. The entire loop lies in the plane (of the paper). A uniform magnetic field \( B \) point into the plane of the paper. At \( t=0, \) the loop starts rotating about the common diameter as axis with a constant angular velocity \( \omega \) in the magnetic field Which of the following options is/are correct? This question has multiple correct options

  • A. The amplitude of the maximum net \( e m f \) induced due to both the loops is equal to the amplitude of maximum \( e m f \) induced in the smaller loop alone
  • B. The rate of change of the flux is maximum when the plane of the loops is perpendicular to plane of the paper
  • C. The \( e m f \) induced in the loop is proportional to the surn of the areas of the two loops
  • D. The net \( e m f \) induced due to both the loops is proportional to cos \( \omega t \)

Step-by-step solution

The magnetic flux through the rotating loops varies sinusoidally. The induced emf is proportional to the rate of change of flux, which is maximum when the plane of the loops is perpendicular to the plane of the paper (i.e., when the normal to the loops is aligned with the plane of the paper, making the flux zero but its derivative maximum).
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