Question
For $e=e_0 \sin \omega t$, what is
(i) $e_{a v}$ (over half cycle)
(ii) $r_{r m s}$

Answer

For $e=e_0 \sin \omega t, e_{a v}$ (over half cycle) $=\frac{2}{\pi} e_0$ and $e_{ rms }=\frac{e_0}{\sqrt{2}}$

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