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Q.

A uniform but time varying magnetic field is present in a circular region of radius R.The magnetic field is perpendicular and into the plane of the loop and the magnitude of the field is increasing at a constant rate  .There  is a straight conducting rod of length 2R placed as shown in figure .The magnitude of induced emf across the rod is

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a

b

c

d

answer is D.

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Detailed Solution

Considering a square loop as shown, emf across the loops       magnitude of emf across one side
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A uniform but time varying magnetic field is present in a circular region of radius R.The magnetic field is perpendicular and into the plane of the loop and the magnitude of the field is increasing at a constant rate  .There  is a straight conducting rod of length 2R placed as shown in figure .The magnitude of induced emf across the rod is