Question

In an ac circuit $I=100\sin 200\pi t$. The time required for the current to achieve its peak value will be

• A. $\frac{1}{100}sec$
• B. $\frac{1}{200}sec$
• C. $\frac{1}{300}sec$
• D. $\frac{1}{400}sec$

Answer 1

The correct option is D $\frac{1}{400}sec$

According to the question,

The current takes $\frac{T}{4}$ sec to reach the peak value .
In the given question $\frac{2\pi }{T}=200\pi \Rightarrow T=\frac{1}{100}$ sec
$\therefore$ Time to reach the peak value = $\frac{1}{400}$ sec