A parallel plate capacitor has a capacitance C=200 pF. It is conn… - Vidyadip

MCQ

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 $\mathrm{rms}$ value of conduction current in the circuit and displacement current in the capacitor respectively are :

A
$1.38 \mu \mathrm{A}$ and $1.38 \mu \mathrm{A}$
B
$14.3 \mu \mathrm{A}$ and $143 \mu \mathrm{A}$
C
$13.8 \mu \mathrm{A}$ and $138 \mu \mathrm{A}$
✓
$13.8 \mu \mathrm{A}$ and $13.8 \mu \mathrm{A}$

✓

Answer

Correct option: D.

$13.8 \mu \mathrm{A}$ and $13.8 \mu \mathrm{A}$

d
$I=\frac{V}{X_C}=230 \times 300 \times 200 \times 10^{-12}=13.8 \mu \mathrm{A}$

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