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A parallel-plate capacitor of capacitance 20 \(\mu\text{F}\) is being charged by a voltage source whose potential is changing at the rate of 3 V/s. The conduction current through the connecting wires and the displacement current through the plates of the capacitor are, respectively,

  1. Zero, 60 \(\mu\text{A}\)
  2. 60 \(\mu\text{A}\), 60 \(\mu\text{A}\)
  3. 60 \(\mu\text{A}\), zero
  4. Zero, zero

Correct answer: 60 \(\mu\text{A}\), 60 \(\mu\text{A}\)

Solution

The current is given by \(I = C\,\frac{dV}{dt}\). Substituting \(C = 20\,\mu\text{F}\) and \(\frac{dV}{dt} = 3\,\text{V/s}\), we get \(I = 60\,\mu\text{A}\). In a charging capacitor, the conduction current and displacement current have the same magnitude.

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