镜像法求解导体球外点电荷电场的代数解

The algebraic solution of the electrostatic field produced by point charge out of the conductor ball via the image method

用代数法求解了导体球外点电荷在空间产生的静电场。得到了能反映导体球中自由电荷性质的新解。该结果既符合唯一性定理,又有明确的物理含义。

The potential produced by the point charge out of the spherical conductor is calculated via the algebraic method. The solutions refleeting the properties of free charges distributed at the spherical conductor are obtained. The result not only is in good agreement with the uniqueness theorem in electrostatics, but also has explicit physical meanings.