均匀电场中不等径导体球对的偶极矩

均匀电场中的两个电体球，球面上感应电荷分布受近邻的影响，因而感应偶极矩与两球半径有关．本文用电像法确定相互接触时两球的像电荷分布，在此基础上分别求解了球对的纵向和横向仍极矩，并将其简洁地表示成两球半径的函数．讨论中我们要求球对的总感应电荷为零，从而使我们的结果比以往的讨论更具一般性．

给定电势导体球与极板体系的电势与电场

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。

Research on Distribution of Electric Dipole Field based on Applied Mathematics and Computer

The paper analyze the polarization of study dielectric that produced field by dipole, medium field plays an important role in electromagnetic wave radiation. The electric field expression for electric dipole electric field distribution in ordinary textbooks only give a special direction, This paper introduces in detail the formula of the electric dipole in the space of an arbitrary point excitation electric field, and use computer sottware to simulate the distribution pattern of electric dipole, and gives some typical figures for reference.