A uniform conducting ring of mass m = 2 kg , radius r = 2 m and resistance 8Ω is kept on smooth, horizontal surface. A time varying magnetic field B = ( i ^ + t 2 j ^ ) Tesla is present in the regio

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A uniform conducting ring of mass m = 2 kg , radius r = 2 m and resistance 8Ω is kept on smooth, horizontal surface. A time varying magnetic field B = ( i ^ + t 2 j ^ ​ ) Tesla is present in the region, where t is time in second and take vertical as y-axis, then :- (Take π 2 = 10 )

TestHub · Accepted Answer

ϕ = t 2 π r 2 , so ε = 2 π r 2 t and i = R 2 π r 2 t ​ Toppling: ∣ μ ​ × B ∣ ≥ m g r gives t ≥ 2 π 2 r 3 m g R ​ = 1 s Heat = ∫ i 2 R d t = R 4 π 2 r 4 ​ ∫ t 2 d t = 3 80 ​ J Answers (A, D)

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