The instantaneous value of the induced e m f as... - JAMB Physics 2007 Question
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 option: d
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
=> 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
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