Question

A parallel plate capacitor has a capacitance C = 200 pF. It is connected to 230 V ac supply with an angular frequency 300 rad/s. The rms value of conduction current in the circuit and displacement current in the capacitor respectively are : 

(1) \(1.38\mu A\) and \(1.38 \,\mu A\)

(2) \(14.3\,\mu A\) and \(143\,\mu A\)

(3) \(13.8\,\mu A\) and \(138\,\mu A\)

(4) \(13.8\,\mu A\) and \(13.8 \,\mu A\)

Answer 1

(4) \(13.8\,\mu A\) and \(13.8 \,\mu A\)

\(I = \frac {V}{X_C}\)

\(=\frac {230 \times 200\times 10^{-12}\times 300}{1}\)

\(=13.8 \,\mu A\)