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Dear golu ,
Case I : Apply following equation - ∫line E.dl = - dØ/dt i.e line integral of electric field over a surface is the rate change of flux through that surface. note that bold letters are vectors.
now , varying magnetic field produces electric field , direction given by right hand thumb rule. we can see that electric field is in circular direction along the ring , assume it to be E (magnitude) . it will be constant as ring is symmetrical.
Therefore , E.2∏r = ∏r2 * dB/dt ; E = (1/2)*dB/dt. now we can easily see torque = EQr = (1/2)*dB/dt*Qr.
Case II: in first case there was no conduction so ring moved with charges but in this case charges shall move inside the ring because ring allows conduction . so a current will flow and ther will not b any torque on ring.
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