What is the phase difference between the flux linked with a coil rotating in a uniform magnetic field and the induced e.m.f. produced in it?

Step-by-step solution

The magnetic flux linked with a coil rotating in a uniform magnetic field is = BA ( t) . Faraday's law gives = - d dt . Differentiating , we obtain = BA ( t) . Using the identity ( t) = ( t - 2 ) , the e.m.f. becomes = BA ( t - 2 ) . The flux has phase t while the e.m.f. has phase t - 2 , so the e.m.f. lags the flux by 2 radians. The phase difference is D .