Find out the capacitance of an isolated spherical conductor of radius R

Explanation

Let there is charge Q on sphere.
Potential `V=(KQ)/(R)`
Hence by formula : `Q=CV`
`Q=(CKQ)/(R)`
`C=4piepsi_(0)R`
(i) If the medium around the conductor is vacuum or air: `C_("vaccum")=4piepsi_(0)R`
R=Radius of spherical conductor (may be solid or hollow)
(ii) If the medium around the conductor is a dielectric of constant K from surface of sphere to infinity then `C_("medium")=4piepsi_(0)R`
(iii) `(C_("medium"))/(C_("air/vaccum"))=K="dielectric constant."`