The instantaneous value of the induced e.m.f as a function of time is ε = εo sin ωt where εo is the peak value of the e.m.f. The instantaneous value of the e.m.f. one quarter of the period is?

A. 0.00
B. εo/4
C. εo/2
D. εo

Correct Answer:

Option D = εo

Explanation

Period is the time to complete one cycle of 360o
=> Periodic Time T ≡ 1 cycle of 360o
∴ T/4 = 360/4 = 90o
∴ Instantaneous e.m.f E = Eo sin ωt
= Eo sin 90
But sin 90 = 1: => E = Eo x 1
= Eo