Question

The rms value of the current given by, $I=4\sin \left(100\pi t\right)\text{A},$ in a complete cycle, is

$[$0.77 Mark$]$

• A. $2\sqrt{7}\text{A}$
• B. $2\sqrt{2}\text{A}$
• C. $4\sqrt{2}\text{A}$
• D. $2\sqrt{6}\text{A}$

Answer 1

The correct option is B $2\sqrt{2}\text{A}$

We know that, current,

$i=i_{max}\sin \left(\omega t\right)$

So, RMS value of current,

$i_{rms}=\frac{i_{max}}{\sqrt{2}}=\frac{4}{\sqrt{2}}\text{A}$

$=2\sqrt{2}\text{A}$