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Question:

Write the expression for the generalized form of Ampere's circuital law. Discuss its significance and describe briefly how the concept of displacement current is explained through charging/discharging of a capacitor in an electric circuit.

Solution:

Ampere's Circuital Law states that the line integral of magnetic field induction equals the current enclosed times the permeability. ∮→B⋅→dl=μ₀Ienclosed
A capacitor is separated by a region of insulator. During charging/discharging of capacitor, electric current flows in the circuit. However, no actual charge flows in the insulator region of the capacitor. This demands the needs to incorporate a new fictitious displacement current ID in the region which gives rise to a magnetic field in the region.