Q.

A uniform magnetic field  B=0.5  T exists in a circular region of radius  R=5m. A loop of radius   R=5m encloses the magnetic field at  t=0  and then pulled at uniform speed  v=2ms1  in the plane of the paper. Find the induced emf (in V) in the loop at time  t=3  s.

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answer is 8.

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Detailed Solution

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In  ΔO1MP       O1M=(VtR)+12(2RVt)       O1M=12Vt       PM=R2O,M2        PM=4R2V2t24         PN=2PM=4R2V2t2        ε=BVl         ε=BV4R2V2t2       ε=8V

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