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Q.

A current carrying ring of radius r, carrying a current i, is placed in the uniform magnetic field of induction B→ directed into the plane of the ring, as shown in the figure. Then

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a

The ring experiences a net force of magnitude 2irB

b

The ring experiences a torque of magnitude πr2iB

c

a compressive force is induced in the wire of the ring

d

A tensile force is induced in the wire of the ring

answer is D.

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Detailed Solution

Each small element of the ring experiences a radially outward force (∆F→=i∆l→ x B→). As a result a tensile force is induced in the wire. Net force ∑ ∆F→ on the ring is zero. Angle between magnetic dipole moment M→ and magnetic field B→ is zero. Hence net torque (τ=MBsin0o) is zero.
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A current carrying ring of radius r, carrying a current i, is placed in the uniform magnetic field of induction B→ directed into the plane of the ring, as shown in the figure. Then