Question

The emf generated by an AC generator is given by V = V_o sin ωt, where ω is the angular frequency of the armature of the generator. What will be the emf if the angular frequency is doubled?

Options

• V = V_o sin 2ωt

• V = 2V_o sin ωt

• V = 2V_o sin 2ωt

• V = V_o sin ωt

Answer 1

V = 2V_o sin 2ωt

Explanation:

The emf of an AC generator is

V = NBAω sin ωt

So amplitude V_o = NBAω

If ω is doubled, amplitude becomes 2V_o and argument becomes 2ωt.

Thus, the new emf is

V = 2V_o sin 2ωt