The evaluations of the influence of surface conductivity to the energy of particles in discharge channel and interaction force in contact charging process

In this Letter, we present some analytical expressions by using the equations of electric field, inside and outside of a cylindrical void, taking the surface conductivity into consideration. We apply the obtained expressions to the high voltage insulation and ion electron technology, such as: (i) energies of charged particles occurring in discharge channel in accordance with Townsend approach; (ii) interaction force between the dielectric particle and the electrode for DC and AC cases.