A conducting circular loop is placed in a uniform magnetic field, B = 0 . 025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm s - 1 . The induced emf when the radius is 2 cm , is

Question

A conducting circular loop is placed in a uniform magnetic field, B = 0 . 025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm s - 1 . The induced emf when the radius is 2 cm , is, 2 π μV, π μV, π 2 μV, 2 μV

MARKS App · Accepted Answer

Here, magnetic field, B = 0 . 025 T ∴ Magnetic flux ϕ = B · A = B · π r 2 Induced emf e = d ϕ d t = B π 2 r · d r d t = 0 . 025 × π × 2 × 2 × 10 - 2 × 1 × 10 - 3 = π × 10 - 6 V = π μV

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