Q7.4   60\mu F capacitor is connected to a 100\: V60\; Hz  ac supply. Determine the rms value of the current in the circuit.

Answers (1)

Given,

Supply Voltage V = 110V

Supply Frequency f=60Hz

The capacitance of the connected capacitor   C=60\mu F=60*10^{-6}F

Now,

Capacitive Reactance

 X_C=\frac{1}{\omega C}=\frac{1}{2\pi fC}=\frac{1}{2\pi *60*60*10^{-6}}

RMS Value of current

I_{rms}=\frac{V_{rms}}{X_C}=V\omega C=V2\pi fC=110*2\pi *60*60*10^{-6}=2.49A

Hence the RMS Value of current is 2.49A.

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