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A Capacitor Has Been Charged by a Dc Source. What Are the Magnitude of Conduction and Displacement Current, When It is Fully Charged?

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Question

A capacitor has been charged by a dc source. What are the magnitude of conduction and displacement current, when it is fully charged?

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Solution

Elecric flux through plates of capacitor, `φ_E = q/ε_o`.

Here, q = constant, the capacitor is fully charged.

Displacement current , `I_D= ε_o (dφ_E)/dt = ε_od((q/ε_o)/dt) = 0 `

Contduction current, `I = c (dv)/dt = 0` as volatage becomes constant

when the capacitor becomes fully charged.

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2012-2013 (March) Delhi Set 2

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