Question #72104

A capacitor has been charge by a dc source What is th e magnitude conductance and displacement current when it is fully charged?
1

Expert's answer

2017-12-24T09:20:06-0500

Answer on Question #72104-Physics-Electromagnetism

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

Answer

Electric flux through plates of capacitor is


Φ=qε0\Phi = \frac {q}{\varepsilon_ {0}}

q=constq = const when it is fully charged.

Displacement current is


ID=ε0ddtΦ=ε0ddt(qε0)=0I _ {D} = \varepsilon_ {0} \frac {d}{d t} \Phi = \varepsilon_ {0} \frac {d}{d t} \left(\frac {q}{\varepsilon_ {0}}\right) = 0


Conductance current is


I=CdVdt=0.I = C \frac {d V}{d t} = 0.


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