Magnetic field due to currentHard

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 i = 4A. 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

Options

A.40π rad / s2
B.20π rad / s2
C.5π rad / s2
D.15π rad / s2

Solution


⇒ IA × B × 90o = α
⇒1 × 4 × πR2 × × 10 × 1 = R2 × α
⇒ α = 40π rad /s2

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