Question

The instantaneous value of current in an A.C. circuit is I = 2 sin[100πt + (π/3)]A. The current will be maximum for the first time at, 

(a) t = (1/100) sec 

(b) t = (1/200) sec 

(c) t = (1/400) sec 

(d) t = (1/600) sec

Answer 1

The correct option (d) t = (1/600) sec

Explanation:

I = 2 sin[100πt + (π/3)]

Given current will be maximum. Here I_max is given to be 2A

∴ I = I_max = 2A

∴ 2 = 2 sin[100πt + (π/3)]

∴ 1 = sin[100πt + (π/3)]

∴ 100 πt (π/3) = (π/2)

100 πt = (π/6)

∴ t = (1/600) sec