Question

Show that the sum of conduction current and displacement current in the generalized expression for the amperes circuital law has the same value everywhere in the circuit when a parallel plate capacitor is being charged by an external source

Answer 1

1.sum of conduction current and displacement current has the important property of continuity along any closed path

2.we would calculate the sum of current Ic and Id and will show that

3.for loop c1

I=Ic since id will be zero in that case as no current is being displaced

and then do the same

4.for loop c2 where ic will be zero as in case of capacitor there will be no conduction current

so ic will be zero in this case

and

5. we would conclude at the end that the sum of conduction current and displacement current has the same value on left and right side of plate p of capacitor