CBSE Class 12 · 2017 · Delhi · EM WavesShort Answer

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How does the Ampere--Maxwell law explain the flow of current through a capacitor when it is being charged by a battery? Write the expression for the displacement current in terms of the rate of change of electric flux.

Solution

While charging, the charge on the plates grows, so the electric field and hence the electric flux between the plates change with time.
The Ampere--Maxwell law treats this changing flux as a current --- the displacement current --- which flows across the gap and makes the magnetic field continuous around the circuit, even though no charge crosses the plates.
The displacement current is

CBSE Class 12 Board · 2017 · Delhi · Subjective

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