Surface Element Method for Calculating the Capacitance of Cubes and Hollow Cylinders

Abstract

We extended the surface element method proposed by Reitan and Higgins for calculating the capacitanceof cubes, subdividing each face of a cube into up to 600 × 600 Subsquares. When each face was divided into90 × 90 Subsquares, the capacitance of the unit cube reached a maximum value of 0.6608 cm (0.7352 pF). Wefurther applied this method to compute the capacitance of hollow cylinders by dividing them into q annular rings, with each ring subdivided into m square elements. The capacitanceof hollow cylinders under varying q/m ratios was calculated.

Keywords: surface element method, capacitance, cube, hollow cylinder