A constant magnetic field of 1   T is applied in the x > 0 region. A metallic circular ring of…

A constant magnetic field of 1 T is applied in the x>0 region. A metallic circular ring of radius 1 m is moving with a constant velocity of 1 m s-1 along the x-axis. At t=0 s, the centre O of the ring is at x=-1 m. What will be the value of the induced emf in the ring at t=1 s ? (Assume the velocity of the ring does not change.)

  1. 0 V
  2. 2 V
  3. 2π V
  4. 1 V

Solution

Recall the formula of induced E.M.F. in terms of the length of the rod, and uniform magnetic field, E=Bvl, here in the case of the ring, l=2R,⇒E=Bv2R, when half ring enters, E=1×1×2×1=2 V.

Asked in: JEE Main 2021 (27 Aug Shift 2)

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