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Q.

A uniform magnetic field is confined to a circular region of radius ‘a’. A thin metallic ring of radius r (r > a) is concentrically placed around the circular region as shown in figure. If the magnetic field in the circular region increases at a constant rate, then

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a

An electric field appears in the wire of the ring which is conservative in nature.

b

An electric field appears in the wire of the ring which is non-conservative in nature.

c

Electric lines of force that appear in the wire of the ring form closed circular loops.

d

Both (2) and (3) are correct.

answer is D.

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Detailed Solution

The magnetic flux associated with the circular region is increasing with time. So at a radial distance r, an emf (ε) is induced which is given by ε=E.2πr=-ddt(πa2B)Where E is the intensity of electric field.The electric field is produced by a variable magnetic field, so it is non-conservative in nature. Also the field lines form closed curves.
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A uniform magnetic field is confined to a circular region of radius ‘a’. A thin metallic ring of radius r (r > a) is concentrically placed around the circular region as shown in figure. If the magnetic field in the circular region increases at a constant rate, then