A parallel plate capacitor has circular plates, each of radius 8cm, It is being charged so that the electric field between the gap of two plates rises steadily at the rate of `10^13V m^-1s^-1`. Find the value of displacement current?

Answer

1.78A

Explanation

Here, `r=8cm=8xx10^-2m`,
`(dE)/(dt)=10^(13)Vm^-1s^-1`
Displacement current,
`I_D=in(dphi_E)/(dt)=in_0d/(dt)(EA)`
`=in_0 A (dE)/(dt)=in_0pir^2(dE)/(dt)`
`=(8.85xx10^(-12))xx3.14xx(8xx10^-2)^2xx10^(13)`
`=1.78A`