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

Question

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

Ans (A,D) f = B A = ( t 2 ) ( π r 2 ) ε = d t d ϕ ​ = 2 π r 2 t i = R ε ​ = R 2 π r 2 t ​ For toppling : τ = ∣ μ ​ × B ∣ ≥ m g r ( i ⋅ π r 2 ) ⋅ 1 ≥ m g r R 2 π r 2 t ​ ⋅ π r 2 ≥ m g r t ≥ 2 π 2 r 3 m g R ​ = 1 sec Heat = ∫ i 2 R d t = ∫ 0 1 ​ ( R 2 π r 2 t ​ ) 2 d t ⋅ R Heat = R 4 π 2 r 4 ​ ∫ 0 1 ​ t 2 d t = 3 80 ​ Joule

Physics - EMI/AC Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion