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COMEDK2024Morning ShiftPhysicsCapacitanceActual

The capacitance of a parallel plate capacitor is 400 ~pF . It is connected to an ac source of 100 ~V having an angular frequency 100 ~rad~s ⁻¹ . If the rms value of the current is 4 A , the displacement current is:

Options

  1. A4 A
  2. B4 10⁻² A
  3. C4 A
  4. D0.4 A

Correct answer

A. 4 A

Step-by-step solution

The displacement current I_d in a parallel plate capacitor is defined as the current flowing through the circuit, which is equal to the conduction current I_c in the connecting wires. The relationship between the conduction current and the displacement current is given by I_d = I_c . Given that the rms value of the current in the circuit is I_ rms = 4 A , this current represents the conduction current flowing through the wires connected to the capacitor plates. According to the principle of continuity of current, t

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