A parallel plate capacitor of capacitance 20 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, wou

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Solution

Q.
A parallel plate capacitor of capacitance 20 $μ F$ 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, would be, respectively [2019]

1 zero, zero

2 zero, 60 $μ A$

3 60 $μ A$ , 60 $μ A$

4 60 $μ A$ , zero

Ans.
(3)

Here, $C = 20$ $μ F$

The rate of change of potential, $\frac{d V}{d t} = 3$ $V/s$

The charge on the capacitor, $Q = C V$

$∴$ $\frac{d Q}{d t} = I_{D} = C \frac{d V}{d t} = 20 μ F \times \frac{3 V}{s} = 60 μ A$

Displacement current is equal to the conduction current.

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