An infinite non-conducting plane with uniform charge density `sigma` is kept parallel to `yz` plane and at a distance `'d'` from a dipole `vecp` which itself is located at the origin. An equipotential surface for this system is spherical, centred at origin, having radius `R(ltd)`. Given that `R=(p/(npisigma))^(1//3)`, find the integer `n`

Answer

2

Explanation

Tangential components must cancel.
`implies(sigma)/(2epsilon_(0))=1/(4piepsilon_(0)) (p sin theta)/(R^(3))`
`impliesR^(3)=p/(2pi sigma)`
`implies n=2`