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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