The recharging processes of charged conductive balls at their potentials balancing and also the charging of the balls from one and the same voltage source are considered. The charges obtained by every ball are calculated. At that, the phenomenon of mutual electric induction, due to which an infinite number of charges–images is formed in every ball, is considered. The interaction forces of balls with different radii connected to one and the same voltage source and having identical potentials are calculated. It was shown that, at the removal of balls with different radii from each other, the force of their interaction passes through a local maximum. It was also shown that, when taking account of the images, only the first order in some cases is a sufficiently good approximation. Experimental measurement results of the interaction force of the balls that are in good agreement with the theoretical ones are presented.