A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region
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a
Is zero
b
Decreases as
c
Increases as r
d
Decreases as
answer is B.
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Detailed Solution
Construct a concentric circle of radius r. The induced electric field (E) at any point on the circle is equal to that at P. For this circle