1.

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»


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


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