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A metallic ring is rotating with uniform angular velocity about its diameter in a uniform magnetic field. Then emf induced in the ring is

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zero, when the plane of the coil is perpendicular to the field

maximum, when the plane of the coil is perpendicular to the field.

zero, when the plane of the coil is parallel to the field

maximum when the plane of the coil makes an angle of 45⁰ with the field.

answer is A.

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Detailed Solution

At any time to,

$ϕ = \vec{A} . \vec{B} = ABcosθ = ABcosωt$

Induced emf, $ε = - \frac{dϕ}{dt} = AωB . sinωt = AωBsinθ$

Evidently, $ε$ is maximum when $θ = 90^{o}$ .

and $ε = 0$ when $θ = 0^{o}$ .

Here $\vec{A} =$ Area vector which is perpendicular to the plane of the coil.

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