表面为单叶双曲面带电导体的电位分布

Potential distribution of charged conductorwith surface of hyperboloid of one sheet

利用保角变换,首先在二维平面得到双曲线型的等位线簇方程,然后过渡到三维空间,从而得到表面为单叶双曲面(两实半轴相等)的带电导体的等位面簇方程.由此得到该电荷系统的电位分布表达式.

<Abstrcat> Adopting the method of conformal transformation, firstly we obtain the hyperbolic equation of equipotential line families in two-dimensional surface. Transition to the three-dimensional space, then we obtain the equation of equipotential surface families of charged conductor with surface of hyperboloid of one sheet. Thereout we obtain the expression of the potential distribution of the charges system.