A conducting circular loop is placed in a uniform magnetic field 0 . 04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm s - 1 . The induced emf in the loop, when the radius is 2 cm , is

Question

A conducting circular loop is placed in a uniform magnetic field 0 . 04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm s - 1 . The induced emf in the loop, when the radius is 2 cm , is, 4 . 8 π μV, 0 . 8 π μV, 1 . 6 π μV, 3 . 2 π μV

MARKS App · Accepted Answer

ϕ = BA cos θ = B π r 2 cos 0 ∘ = B π r 2 ε = d ϕ dt = B π 2 r dr dt = 0.04 × π × 2 × 2 × 1 0 - 2 × 2 × 1 0 - 3 = 3.2 π × 1 0 - 6 V = 3.2 π μ V

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