Question
What is the relation between $i _{,,}$ (over half cycle) and $i _{ rms }$ ?

Answer

$i _{ av }($ (over half cycle) $)=\frac{2}{\pi} i _0$, and $i _{ rms }=\frac{i_0}{\sqrt{2}}$
$
\therefore i_{\text {av }} \text { (over half cycle) }=\left(\frac{2}{\pi}\right)\left(\sqrt{2} i_{\text {rms }}\right)=\frac{2 \sqrt{2}}{\pi} i_{\text {rms }}
$

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