In a 280-turn automobile alternator, the magnetic flux in each turn is ?B = 2.50 multiply.gif 10-4 cos ?t, where ?B is in webers, ? is the angular speed of the alternator, and t is in seconds. The alternator is geared to rotate three times for each engine revolution. The engine is running at an angular speed of 1.00 multiply.gif 103 rev/min.
(a) Determine the induced emf in the alternator as a function of time. (Assume e m f is in V.)
(b) Determine the maximum emf in the alternator.