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  4. In an RC circuit fed with AC, capacitive reactance is equal to the resistance (R) used in the circuit. Then, phase angle between current and voltage and impedance of the circuit are respectively

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Q. In an $RC$ circuit fed with $AC$, capacitive reactance is equal to the resistance $(R)$ used in the circuit. Then, phase angle between current and voltage and impedance of the circuit are respectively

COMEDKCOMEDK 2010Alternating Current

Solution:

Capacitive reaetance, $X_{C} = R $
$\phi=\tan^{-1} \left(\frac{X_{C}}{R}\right) = \tan ^{-1}\left(1\right)=45^{\circ} $
Impedance of circuit,
$ Z = \sqrt{X_{C}^{2} +R^{2}} = \sqrt{R^{2}+ R^{2}} = \sqrt{2} R $