Precise calculation of capacitances of complex-shaped capacitive sensor-elements by the method of direct field-strength determination

The method of direct field-strength determination, in combination with the method of conformal mapping, explained in this paper, is elegantly applied for precise analytical calculation of the capacitances of complex-shaped systems of electrodes. Because of the analogy of mathematical formulations, this method can be also applied for calculation of stationary magnetic, electrical and thermal fields. In this paper we will indicate for which geometries of sensor-elements the method can be used to design capacitive sensors The procedure of calculation, novel example and some applications of this method are presented.