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Question

A conducting ring of mass 2 kg and radius 0.5 m is placed on a smooth horizontal plane. The ring carries a current of i=4 A.
A horizontal magnetic field B=10 T is switched on at time t=0 as shown in figure. The initial angular acceleration of the ring will be:


A
40π rad s2
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B
20π rad s2
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C
5π rad s2
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D
15π rad s2
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Solution

The correct option is A 40π rad s2
Due to torque of magnetic field, ring will rotate about axis passing through centre which is perpendicular to plane of paper.
τ=Iα
MB=Iα
iπr2B=12mr2α
α=2iBπm=2×4×10π2=40π rad s2

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