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

Question

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

TestHub · Accepted Answer

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

$I_{d i s pl a ce m e n t} = I_{co n d u c t i o n} = \frac{V _{r m s}}{X _{C}} = \frac{V _{r m s}}{\frac{1}{ω C}} = 230 \times 300 \times 200 \times 1 0^{- 12} = 13.8 μA$

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