A parallel plate capacitor has a capacitance C = 200pF . It is connected to 230V ac supply with an angular frequency 300rad s ^ - 1 . The rms value of conduction current in the circuit and displacement current in the

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Correct answer: D. 13 .8 μ A and 13 .8 μ A

By Maxwell's equation for a time varying voltage (AC voltage), both conduction and displacement currents are the same. Therefore,

${I}_{displacement} = {I}_{conduction} = \dfrac{{V}_{rms}}{{X}_{C}} = \dfrac{{V}_{rms}}{\dfrac{1}{\omegaC}} = 230 \times 300 \times 200 \times {10}^{- 12} = 13 .8 \mu A$

A parallel plate capacitor has a capacitance C = 200pF . It is...

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