对称椭圆弧柱板电容器的电容

Capacitance of symmetric elliptic cylindrical capacitor

在椭圆柱板上开缝的椭圆柱板电容器是电容器的一种形式.本文用保角变换的方法求解了缝宽不等的对称椭圆弧柱板电容器的电容值.由儒可夫斯基变换和分式线性变换,将对称椭圆弧柱板变换成为对称圆弧柱板,并再变换成为斜板电容器形式,利用对称斜板电容的结果求出缝宽不等的椭圆弧柱板电容器的电容.

Elliptical plate capacitor made of slots in the elliptical cylindrical plate is a form of capacitor. In this paper, the conformal mapping method is used to solve the capacitance value of the symmetric elliptic cylinder plate capacitor with different slit width. Using the method of Zhukovsky transformation, we convert a symmetric elliptic cylindrical capacitor to a symmetrical arc-cylindrical capacitor. The capacitance of slotted elliptic cylindrical capacitor with different slit width is found out in terms of the results of the symmetrical arc-cylindrical capacitor reference from the literature.