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Question: The instantaneous value of current in an ac circuit is \(i = 2\sin(100\pi t + \pi/3)A.\) The current...

The instantaneous value of current in an ac circuit is i=2sin(100πt+π/3)A.i = 2\sin(100\pi t + \pi/3)A. The current at the beginning (t=0)(t = 0) will be

A

23A2\sqrt{3}A

B

3A\sqrt{3}A

C

32A\frac{\sqrt{3}}{2}A

D

Zero

Answer

3A\sqrt{3}A

Explanation

Solution

At t = 0, i=2sin(0+π3)=2×32=3Ai = 2\sin\left( 0 + \frac{\pi}{3} \right) = 2 \times \frac{\sqrt{3}}{2} = \sqrt{3}A.