Correct Answer - Option 3 :
1/600 s
Concept:
The instantaneous value is the value of an alternating quantity at a particular instant of time in the cycle.
The standard equation of an instantaneous value of a sinusoidal wave is: I = Im sin (ωt + ϕ)
Im is the maximum value
I is the instantaneous value at time t.
Calculation:
An AC current is given by i = 100 sin 100πt A
100 sin 100πt = 50
Consider, 100πt = θ
⇒ 100 sin θ = 50
⇒ sin θ = 0.5
∴ θ = sin-1 (0.5) = π/6
Hence,
100πt = θ = π/6
∴ t = 1/600 s
