A parallel plate capacitor of area A = 16 cm² and separation between the plates 10 cm, is charged by a DC current. Consider a hypothetical plane surface of area A₀ = 3.2 cm² inside the capacitor and parallel to the plates. At an instant, the current through the circuit is 6A. At the same instant th…

Question

A parallel plate capacitor of area A = 16 cm² and separation between the plates 10 cm, is charged by a DC current. Consider a hypothetical plane surface of area A₀ = 3.2 cm² inside the capacitor and parallel to the plates. At an instant, the current through the circuit is 6A. At the same instant the displacement current through A₀ is mA.

Accepted Answer

1200. Inside the plates the displacement current is spread uniformly over the plate area: J_d = i/A, independent of the plate separation i_d(A₀) = i × A₀/A = 6 × (3.2/16) = 1.2 A 1.2 A = 1200 mA → 1200

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