JEE Mains · Physics · STD 12 -7. Alternating current
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 \(138 \mu \mathrm{A}\)
- D \(13.8 \mu \mathrm{A}\) and \(13.8 \mu \mathrm{A}\)
Answer & Solution
Correct Answer
(D) \(13.8 \mu \mathrm{A}\) and \(13.8 \mu \mathrm{A}\)
Step-by-step Solution
Detailed explanation
\(I=\frac{V}{X_C}=230 \times 300 \times 200 \times 10^{-12}=13.8 \mu \mathrm{A}\)
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