Arectangular coil, measuring 30 cm by 20 cm and having 40 turns, is rotatedabout an axis coinciding with one of its longer sides at a speed of 1500 r/minin a uniform magnetic field of flux density...

Arectangular coil, measuring 30 cm by 20 cm and having 40 turns, is rotatedabout an axis coinciding with one of its longer sides at a speed of 1500 r/minin a uniform magnetic field of flux density 0.075 T. Find, from firstprinciples, an expression for the instantaneous e.m.f. induced in the coil, ifthe flux is at right angles to the axis of rotation. Evaluate this e.m.f. at aninstant 0.002 s after the plane of the coil has been perpendicular to thefield.