Statics of the Wire in a System of Wire and Plate Electrodes

Abstract

The electrostatic force acting on the wire electrode is theoretically obtained by using the Maxwell equation, for the case that high electric voltage is applied between a wire and infinite plate electrodes in an electrostatic field. Then the static equation for the lateral deflection of the wire, in which the nonlinear electrostatic force with respect to the above deflection is considered, is derived in the case of the electrostatic field with corona discharge. The relationship between the static lateral deflection of the wire and the applied electric voltage is evaluated by solving the above equation numerically. Furthermore, the experiment showed that the theoretical results on the lateral deflection of the wire electrode were in qualitative agreement with the experimental ones in the case of corona discharge.