A alternating current at any instant is given by $i=[6+\sqrt{56} \sin (100 \pi t+\pi / 3)]$ A. The $r m s$ value of the current is ________ A.

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Aicharya · Accepted Answer

$\begin{aligned} & I_{D N s}=\sqrt{\frac{\int i^2 d t}{\int d t}} \ & I_{D n s}=\sqrt{(6)^2+\frac{(\sqrt{56})^2}{2}} \ & =\sqrt{36+28} \ & =\sqrt{64} \ & =8 \mathrm{~A}\end{aligned}$

A alternating current at any instant is given by $i=[6+\sqrt{56} \sin (100 \pi t+\pi / 3)]$ A. The $r m s$…

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