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In a 290-turn automobile alternator, the magnetic flux in each turn is %u03A6B = 2.50 10-4 cos %u03C9t, where %u03A6B is in webers, %u03C9 is the angular speed of the alternator, and t is in seconds. The alternator is geared to rotate five times for each engine revolution. The engine is running at an angular speed of 1.00 103 rev/min.

(a) Determine the induced emf in the alternator as a function of time. (Assume emf is in V.)

emf =

(b) Determine the maximum emf in the alternator.

V

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