The coil of a generator is rotated twice as fast keeping all other factors constant. What happens to the value of the maximum induced emf?
A) It stays the same.
B) It is reduced by a factor of 2.
C) It is increased by a factor of 2.
D) It is increased by a factor of 4.
E) It is reduced by a factor of 4.

Question

Quizplus · Accepted Answer

The maximum induced emf in a generator is given by the equation E = NBAω sin(ωt), where N is the number of turns of the coil, B is the magnetic field strength, A is the area of the coil, ω is the angular velocity of the coil, and t is the time. Keeping all other factors constant, if the coil is rotated twice as fast (i.e. ω is doubled), then the maximum induced emf increases by a factor of 2. Therefore, the correct answer is C.

The Coil of a Generator Is Rotated Twice as Fast