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A capacitor has been charged by ad.c. so...

A capacitor has been charged by ad.c. source. What are the magnitudes of conduction and displacement currents, when it is fully charged?

Text Solution

Verified by Experts

When capacitor is fully charged, let q be the
charge on the plate of capacitor, which is
constant.
Electric flux through the plates of capacitor,
`phi_E=q//in_0=a contant `
Displacement current,
`I_D=in_0(dphi_E)/(dt) =in_0(d(q/in_0))/(dt)=0`
Let C be the capacity of capacitor and V be the
pot.diff. between two plates of capacitor when
capacitor is fully charged, then q=CV
Conduction current, `I=(d(CV))/(dt)=C (dV)/(dt)=0`
as V is constant, when capacitor is fully charged.
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