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Q.

A circular ring of radius r is placed in a homogeneous magnetic field perpendicular to the plane of the ring. The field B changes with time according to the equation B = Kt, where K is a constant and r is the time. The electric field in the ring is

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a

Kr4

b

Kr3

c

Kr2

d

K2r

answer is C.

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Detailed Solution

∮  E→dl→=dϕBdt or E2πr = ddtKt × πr2 or      E=Kr2
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A circular ring of radius r is placed in a homogeneous magnetic field perpendicular to the plane of the ring. The field B changes with time according to the equation B = Kt, where K is a constant and r is the time. The electric field in the ring is