Uniform inward magnetic field B = 0.5 T exists in a circular region of radius 5m. At t = 0 one metal ring of radius 5 m completely encloses the magnetic field. Now ring starts a moving with constant velocity 1 m//s. Find the emf in volts induced in the ring at t=6s.

Uniform inward magnetic field B = 0.5 T exists in a circular region of

1.	Uniform inward magnetic field B = 0.5 T exists in a circular region of radius 5m. At t = 0 one metal ring of radius 5 m completely encloses the magnetic field. Now ring starts a moving with constant velocity 1 m//s. Find the emf in volts induced in the ring at t=6s.
Answer» Solution :In 6 SECONDS rod will MOVE through a distance of 6 m and hence circumference of the ring will be at a distance 1 m from the centre of circular FIELD as shown in figure. Some PORTION of the loop is still inside the field and we can calculate that straight length of this portion is 8 m. Hence motional emf can be WRITTEN as follows: V = Bvl `V = 0.5 xx 1 xx 8 = 4 V`. Hence, answer is 4.

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Uniform inward magnetic field B = 0.5 T exists in a circular region of radius 5m. At t = 0 one metal ring of radius 5 m completely encloses the magnetic field. Now ring starts a moving with constant velocity 1 m//s. Find the emf in volts induced in the ring at t=6s.

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