A parallel plate capacitor consists of two circular plates of radius `R= 0.1` m. they are separated by a distance `d=0.5 mm`, if electric field between the capacitor plates changes as `(dE)/(dt) = 5 xx 10^(13) (V)/(mxxs)`. Find displacement current between the plates.

Explanation

Areas of plates `A= pir^(2)=3.14xx(0.1)^(2)m^(2)`
`(dE)/(dt)=5xx10^(13)(V)/(mxxs)`
`l_(d)=epsi_(0)A[(dE)/(dt)]" " { :. (dphi_(E))/(dt)=A(dE)/(dt)}`
`=8.85xx10^(-12)(C)/(Nxxm^(2))xx3.14xx(0.1)^(2)m^(2)xx5xx10^(13)(V)/(mxxs)`
`l_(d)=13.9A`