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

Question

A parallel plate capacitor has a capacitance C = 200 pF . It is connected to 230 V ac supply with an angular frequency 300 rad s - 1 . The rms value of conduction current in the circuit and displacement current in the capacitor respectively are :, 1 .38 μA and 1 .38 μA, 14 .3 μA and 143 μA, 13 .8 μA and 138 μA, 13 .8 μA and 13 .8 μA

MARKS App · 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 p l a c e m e n t = I c o n d u c t i o n = V r m s X C = V r m s 1 ω C = 230 × 300 × 200 × 10 − 12 = 13 .8 μA

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