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

Explanation

Current density of displacement currnent `J_(d)=(2pi)/(pi(0.1)^(2))=(2)/(0.01)=200("ampere")/(m^(2))`
`i_(d)` (enclosed )` f_(a)xxpi(0.04)^(2)`
`=200xxpixx16xx10^(-4)`
`=32xx10^(-12)A`
`=1A`
`oint vec B. vecdl=mu_(0)i_("enclosed")`
`Bxx2pi(0.04)=4pixx10^(-7)xx1`
`B=(2xx10^(-2))/(4xx10^(10))=0.5xx10^(-6)`
`B=5xx10^(-6)T`