Question

Find the effective value of current $I=2+4\cos 100\pi t$

Answer 1

$I=2+4\cos 100\pi t$

$I$ stands for current.

$I_{dc}=2$ $A$

$I_{acrms}=\frac{4}{\sqrt{2}}$

$I_{effective}=\sqrt{I_{dc}^2+I_{acrms}^2}=\sqrt{2^2+{\left(\frac{4}{\sqrt{2}}\right)}^2}$

$\Rightarrow I_{effective}=\sqrt{4+8}=\sqrt{12}=2\sqrt{3}$ $Amp$