Alternating Current Question 1

Question 1 - 2024 (01 Feb Shift 1)

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 $13.8 \mu A$

Show Answer

Answer: (4)

Solution:

$I=\frac{V}{X _C}=230 \times 300 \times 200 \times 10^{-12}=13.8 \mu A$