Two circular plates of radius 0.1 m are used to form a parallel capacitor. If displacement current between the plates is `2pi` ampere, then find magnetic produced by displacement current 4 cm from the axis of the plates.

Explanation

Current density of displacement current `J_(d) = (2pi)/(pi (0.1)^2) = (2)/ (0.01) = 200 ("ampere")/(m^2)`
`i_(d) ("enclosed")=j_(d)xx pi (0.04)^2`
`200 xx pi xx 16 xx 10^(-4)`
`32 xx pi xx 10^(-2)A`
`=1 A`
`ointbar(B).bar(dt) = mu_(0)i` enclosed
`rArr B xx 2 (0.04 ) = 4pi xx 10^(-7) xx 1`
`rArr B = (2xx 10^(-7) )/(4 xx 10^(-2)) =0.5 xx 10^(-5)`
`rArr B = 5xx 10^(-6) T`