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

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answer is 8.

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Detailed Solution

O1M=(vt−R)+2R−vt2=vt2PM=R2−O1M2=R2−vt22=4R2−V2t22PN=2PM=l=4R2−V2t2∴E=BVl =BV4R2−V2t2, given R=5m,v=2m/s,t=3sec =0.5×24×25−4×9=8V

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