椭圆形带电环垂直轴上的电场强度级数解

Series solution of electric field intensity on perpendicul araxis of elliptic charged ring

通过幂级数和电势叠加原理,导出了椭圆形带电环垂直轴上的电场强度级数解,进而讨论了级数解的收敛性和电场的变化,以及椭圆中心处或椭圆退化为圆时轴上的电势和电场强度。

According to the power series and the law of superposition of the electric potential,the series solution of the electric field on the perpendicular axis of elliptic charged ring were derived. Further, the convergence of the series solution and the change of the electric field, as well as the electric potential and electric field intensity at the center of the ellipse or on the axis of the circle, were discussed.