A $40 ext{ \mu F}$ capacitor is connected to a $200 ext{ V}$, $50 ext{ Hz}$ ac supply. The rms value of

Question

A $40 	ext{ \mu F}$ capacitor is connected to a $200 	ext{ V}$, $50 	ext{ Hz}$ ac supply. The rms value of the current in the circuit is, nearly :

Accepted Answer

$i_{	ext{rms}} = c\omega \epsilon_{	ext{rms}}$. Given $c = 40 	imes 10^{-6} 	ext{ F}$, $\omega = 2\pi f = 100\pi$, $\epsilon_{	ext{rms}} = 200 	ext{ V}$. $i_{	ext{rms}} = 200 	imes 40 	imes 10^{-6} 	imes 2\pi 	imes 50 = 2.5 	ext{ A}$.

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