Conducting Ring

A uniform conducting ring of mass , m = 2 k g m = 2 kg , radius r = 2 m r = 2m and resistance 8 ohms is kept on smooth horizontal surface. A time varying magnetic field B = ( i + t 2 j ) \vec{B}=(\vec{i}+t^{2}\vec{j}) Tesla is present in the region, where t t is time in second and take vertical as y-axis. assume π 2 = 10 \pi^{2}=10 .

Let the time when ring starts toppling be α \alpha .
Heat generated through the ring till the instant when the ring start toppling is β \beta .

Type your answer as α + β \alpha+\beta .
Answer should be in SI units .


The answer is 27.666.

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