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Questions  

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

a
zero, when the plane of the coil is perpendicular to the field
b
maximum, when the plane of the coil is perpendicular to the field.
c
zero, when the plane of the coil is parallel to the field
d
maximum when the plane of the coil makes an angle of 450 with the field.

detailed solution

Correct option is A

At any time to, ϕ=A→.B→=ABcosθ=ABcosωtInduced emf, ε=−dϕdt=AωB.sinωt=AωBsinθEvidently, ε is maximum when θ=90o.and ε=0 when θ=0o.Here A→=Area vector which is perpendicular to the plane of the coil.

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