An established formula for capacitance C of a thin metal disc printed on a dielectric substrate with height h and relative permittivity , backed by a conducting ground plane, is inverted into a closed formula. The latter yields disc's radius r for a given C and a given substrate, with an accuracy of 5 % of C or better if . It will save the design engineer time, whose alternative is to resort to a numerical field solver and go by trial and error.
在高度为 h、相对介电系数为 εr≥2.2 的电介质基板上印刷的薄金属圆盘,以导电接地平面为支撑,其电容 C 的既定公式被反演为一个封闭公式。后者可得出给定 C 和给定基底的圆盘半径 r,如果 r≥h/2 则精确度为 C 的 5%或更高。它将为设计工程师节省时间,而使用数值场求解器则需要反复试验。保留所有权利。
期刊介绍:
The Journal of Electrostatics is the leading forum for publishing research findings that advance knowledge in the field of electrostatics. We invite submissions in the following areas:
Electrostatic charge separation processes.
Electrostatic manipulation of particles, droplets, and biological cells.
Electrostatically driven or controlled fluid flow.
Electrostatics in the gas phase.