Measure for intensity of electrostatic interaction between two disjoint sets of charged conductors

Abstract

Measure for intensity of electrostatic interaction between two disjoint sets of charged conductors is introduced, and it is called relative intensity of interaction (RII). Firstly, we examine properties and we found various forms and upper bounds for RII between charged conductors and neutral conductors. The most important derived expression for RII is in terms of Schur complement of original capacitance matrix and capacitance matrix of system without neutral conductors. RII between two disjoint sets $S_1$ and $S_2$ of arbitrarily charged conductors is bounded above by sum of RII’s between charged set $S_1$ and neutral set $S_2$, and vice versa.