Question:

Briefly explain how and where the displacement current exists during the charging of a capacitor.

Updated On: Jun 24, 2025
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Solution and Explanation

Displacement Current During Charging of a Capacitor:
When a capacitor is being charged in an electric circuit, conduction current flows through the connecting wires up to the plates. However, between the plates, the electric field changes with time, though no conduction current exists in the dielectric gap.
To maintain the continuity of current, Maxwell introduced the concept of displacement current, which exists between the capacitor plates and is given by: \[ I_d = \varepsilon_0 \frac{d\Phi_E}{dt} \] where \( \Phi_E \) is the electric flux.
Thus, displacement current exists in the dielectric between the capacitor plates during charging and is equal in magnitude to the conduction current in the circuit.
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