A long straight wire carries a current `I_(0)=100amp` , a particle having a positive charge `q=100C` and mass `m=10 g m s` is kept at a distance `x_(0)=10m` from the axis of the wire is projected away from it with a speed `v_(0)=10m//sec`. Find the maximum separation between particle and wire is found to be `yxx10m` Find `y`.

Answer

3

Explanation

`=(int_(x)^(n)(mu_(0)I_(0)dr)/(2pir))/(int_(x_(0))^(x)dr)implies(mu_(0)I_(0)ln.(x_(0))/(x))/((x_(0)-x))implies`
`x_(0)-x=(m mu_(0)(x_(0)-x))/((q^(mu_(0)I))/(2lambda)ln((mu_(0))/(mu)),x=x_(0)e)(2pimv_(0))/(mu_(0)qI_(0))=30m`