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Topic: Displacement current· Electromagnetic Waves

A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circuit, then in the gap between the plates :

1. displacement current of magnitude greater than I flows but can be in any direction.

2. there is no current.

3. displacement current of magnitude equal to I flows in the same direction as I.

4. displacement current of magnitude equal to I flows in a direction opposite to that of I.

1 answer

Best answer

Answer: 3. displacement current of magnitude equal to I flows in the same direction as I.

Key idea: Maxwell's displacement current \(I_d=\epsilon_0\frac{d\Phi_E}{dt}\) makes the current continuous through the gap.

While charging, the electric field between the plates grows, so a displacement current flows across the gap. It equals the conduction current \(I\) in the wires and has the same direction, so the total current has no break.

Option 3.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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