A conducting ring of radius r and resistance R is placed in a region of uniform time varying magnetic field B which is perpendicular to the plane of the ring. If the magnetic field is changing at a rate α , then the current induced in the ring is

Question

A conducting ring of radius r and resistance R is placed in a region of uniform time varying magnetic field B which is perpendicular to the plane of the ring. If the magnetic field is changing at a rate α , then the current induced in the ring is, π r 2 α 2 R, 2 π r α R, π r α R, π r 2 α R

MARKS App · Accepted Answer

The magnitude of the induced emf in the ring is ε = d ϕ d t = d d t B A = A d B d t = π r 2 α The induced current in the ring, I = ε R = π r 2 α R

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