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AP EAMCET202017 Sep 2020Evening ShiftPhysicsElectromagnetic InductionActual

When a rectangular coil is rotated in a uniform magnetic field about an axis passing through its centre and perpendicular to the field, the emf induced in the coil varies

Options

  1. Alinearly
  2. Bexponentially
  3. Csinusoidally
  4. Dlaterally

Correct answer

C. sinusoidally

Step-by-step solution

When a rectangular coil is rotated in a uniform magnetic field about an axis passing through its centre and perpendicular to field, then magnetic flux associated with coil is given as ( =B A =B A t ) ...(i) ( ) Induced emf, (e=- d d t =- d d t B A t ) [From Eq. (i)] (=+B A t ) ( e=e₀ t ) ...(ii) where, (e₀ ) is the peak value of induced emf. i.e. (e₀=B A ) From Eq. (ii) it is clear that, induced emf varies sinusoidally.

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