中文摘要：

用多重镜像法研究了在外加电场中给定电势的导体球和极板体系的电场分布、电势问题。给出了计算镜像电荷和偶极矩的理论推导和计算方法,通过得到的镜像分布,计算并讨论了空间电场分布,得到了球上电势与一阶镜像电量的关系,指出对于该体系,不能通过球的电势直接确定电量,而是应先用镜像法确定电势和电量的关系,再根据给定的电势确定电量,而后再应用镜像法计算和分析电荷、电场和电势分布。

英文摘要：

The multiple image charge method has been used to study the potential and electric field distribution of the system including an electrode and a conducting sphere with fixed potential. The theoretical derivation and calculation of the image charges and dipole moments for this system has been provided. After the image distribution was determined,the electric field can be calculated using all image charges and dipole moments. The relation between the potential of the sphere and the first order image charge has been given. We point that the first order image charge on the conducting sphere must be determined by the relation equation that was calculated by image method considering the parameters used in the system.