Alternating Current Question 1
Question 1 - 2024 (01 Feb Shift 1)
A parallel plate capacitor has a capacitance $\mathrm{C}=200 \mathrm{pF}$. It is connected to $230 \mathrm{~V}$ ac supply with an angular frequency $300 \mathrm{rad} / \mathrm{s}$. The rms value of conduction current in the circuit and displacement current in the capacitor respectively are :
(1) $1.38 \mu \mathrm{A}$ and $1.38 \mu \mathrm{A}$
(2) $14.3 \mu \mathrm{A}$ and $143 \mu \mathrm{A}$
(3) $13.8 \mu \mathrm{A}$ and $138 \mu \mathrm{A}$
(4) $13.8 \mu \mathrm{A}$ and $13.8 \mu \mathrm{A}$
Show Answer
Answer: (4)
Solution:
$I=\frac{V}{X_{C}}=230 \times 300 \times 200 \times 10^{-12}=13.8 \mu A$
