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MGVCL Exam Paper (30-07-2021 Shift 2)
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A circular loop has its radius increasing at a rate of 2 m/s. The loop is placed perpendicular to a constant magnetic field of 0.1 Wb/m². When the radius of the loop is 2 m, the emf induced in the loop will be

emf = dΨ/dt = change of flux linkage

emf = dф/dt

emf = d(B*Area)/dt

emf = B*d(area)/dt

emf = B*d(πr²)/dt

emf = Bπ*2r*dr/dt

emf = Bπ*2r*change of radius per unit time

emf = 0.1*π*2*2

emf = 4π