Question

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

• A. $2\sqrt{3}A$
• B. $\sqrt{3}A$
• C. $\frac{\sqrt{3}}{2}A$
• D. $zero$

Answer 1

The correct option is B $\sqrt{3}A$

Given,

Instantaneous current $i=2\sin (100\pi t+\pi /3)A$

At (t=0), $i\left(0\right)=2\sin \left(\pi /3\right)=2\times \frac{\sqrt{3}}{2}=\sqrt{3}A$

The current at the beginning will be $\sqrt{3}A$