Estimates of the correction coefficient in Coulomb's Law for electrostatic interaction between two charged con- ducting spheres

Abstract

In the present work, we consider the coefficient (correction coefficient), which compliments Coulomb's Law in the case of electrostatic interaction between two charged conducting spheres with equal radii and charges. It is proved that the correction coefficient is smaller than one when the ratio of the radii to the distance between their centers is smaller than 2=5. We obtained a formula for calculating the correction coefficient with an arbitrary precision with the help of partial sums.