A Capacitor, of capacitance C ,is being charged up by connecting it across a d.c. voltage source V. How do the conduction and displacement currents,in this set up compare with each other (a)during the charging up process?(b)after the capacitor gets fully charged?plz explain me

Consider a parallel plate capacitor.

(a) charging of capacitor.

As capacitor starts charging. We see that current is flowing throughout the circuit. But between the capacitor is air or dielectric. It is impossible to flow the current through the circuit as we assume constant electric field produced across capacitor. So, we can say capacitor will not be charged.

 In reality, capacitor is charging by battery.

The main cause of charging the capacitor, current is flowing through the air or dielectric of capacitor.

This current is produced if we assume electric field at the capacitor is varying. It is known displacement current.

It is given by

This is given by Maxwell.

(b) When capacitor is fully charged. There is also displacement and conduction current to complete the circuit.

In any electric circuit having capacitor has both conduction and displacement current but for simplicity we ignore displacement current.

To know more refer the following URL,

https://www.meritnation.com/ask-answer/question/what-is-displacement-current-what-is-conduction-current/electromagnetic-induction/1629822

 

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