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JEE Main20241 Feb 2024Morning ShiftPhysicsAlternating CurrentActual

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 :

Options

  1. A1 .38 μA and 1 .38 μA
  2. B14 .3 μA and 143 μA
  3. C13 .8 μA and 138 μA
  4. D13 .8 μA and 13 .8 μA

Correct answer

D. 13 .8 μA and 13 .8 μA

Step-by-step solution

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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