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  4. A 40 μ F capacitor is connected to a 200 V,50 Hz ac supply. The rms value of the current in the circuit is, nearly :

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

NEETNEET 2020Alternating Current

Solution:

The rms value of the current
$i_{\text{rms}}=C\,\omega\,\varepsilon_{\text{rms}}$
$C=40\times10^{-6}F $
$\omega=2\pi\,f =100\,\pi$
$\varepsilon_{\text{rms}}=200\,V $
$\therefore i_{\text{rms}}=200\times40\times10^{-6}\times2\pi\times50$
$=2.5\,A$