in a 250-turn automobile alternator, the magnetic flux in each turn is fb 5 2.50 3 1024 cos vt, where fb is in webers, v is the angular speed of the alternator, and t is in seconds. the alternator is geared to rotate three times for each engine revolution. when the engine is running at an angular speed of 1.00 3 103 rev/min, determine (a) the induced emf in the alternator as a function of time and (b) the maximum emf in the alternator.