极板有缺陷的平行板电容器内的电场分布

Distribution of the Electric Field Inside a Defective Parallel-Plate Capacitor

利用分离变数(傅里叶级数)法和势的拉普拉斯方程分别讨论带有半圆柱形凸出疤和半球形凸出疤两种缺陷的平行板电容器内电场分布;通过对疤上电量的计算,从电荷分布的微观解释出发,得出一些有益的结论。

With the help of the variable separation transformation (Fourier's Series) and the Laplace-equation, the distribution of the electric field inside a parallel-plate capacitor with a convex of a semi-round-post scar or a convex of semi-ball scar is investigated. By calculating the quantity of electric charge, and using the micro-explanation of the charge distribution, some useful conclusions have been obtained.