A circular coil of radius 10cm is placed in a uniform magnetic field of 3.0×10−5T with its plane perpendicular to the field initially. It is rotated at constant angular speed about an axis along the diameter of coil and perpendicular to magnetic field so that it undergoes half of rotation in 0.2s. The maximum value of EMF induced in μV in the coil will be close to the integer

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Detailed Solution

Magnetic Flux =ϕ=B.πr2cosωtInduced EMF =ε=−dϕdt=Bωπr2sinωtPeak value of emf =ε0=Bωπr2=3×10−5×π0.2×π×10−2=3π22μV≃15μV

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