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.)

Question

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.), 0 V, 2 V, 2 π V, 1 V

MARKS App · Accepted Answer

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

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