大学物理 ›› 2017, Vol. 36 ›› Issue (12): 18-21.doi: 10.16854/j.cnki.1000-0712.2017.12.005

• 教学讨论 • 上一篇    下一篇

求解带电导体椭球电势分布的一种方法

于凤军   

  1. 安阳师范学院物理与电气工程学院,河南安阳 455000
  • 收稿日期:2017-02-20 修回日期:2017-04-13 出版日期:2017-12-20 发布日期:2017-12-20
  • 作者简介:于凤军(1959—),男,河南安阳人,安阳师范学院物理与电气工程学院教授,主要从事理论物理、天体力学

An approach to solve the electric potential distribution of charged conductor ellipsoid

YU Feng-jun   

  1. College of Physics and Electrical Engineering,Anyang Normal University,Anyang,Henan 455000,China
  • Received:2017-02-20 Revised:2017-04-13 Online:2017-12-20 Published:2017-12-20

摘要: 采用直角坐标系,基于椭球表面方程的特点,设计一个电势的“尝试解”,根据电场“唯一性定理”的要求,找到该“尝试解”满足的方程,通过求解该方程得到带电导体椭球的电势分布.

关键词: 导体椭球, 电场, 电势, 唯一性定理

Abstract: Based on the characteristics of ellipsoidal surface equation,a trial solution of the electric potential is designed in the rectangular coordinates.According to the uniqueness theorem of electric field,the equation of the trial solution is found and then the potential distribution of charged conductor ellipsoid is obtained by solving this equation.

Key words: conductor ellipsoid, electric field, electric potential, uniqueness theorem