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A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circu…

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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:

[NEET 2024]

a

there is no current.

b

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

c

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

d

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

✓ Correct answer: b)

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

Explanation

While the capacitor charges, the conduction current \(I\) in the external circuit produces a changing electric field between the plates. Maxwell’s displacement current \({I}_{D}={\epsilon }_{0}\frac{d{ϕ}_{E}}{dt}\) equals this conduction current at every instant (\({I}_{D}=I\)) to maintain continuity. Its direction is the same as that of the conduction current, effectively “completing” the circuit through the gap.

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