大学物理 ›› 2006, Vol. 25 ›› Issue (5): 60-60.

• 著者文摘 • 上一篇    

柱形分布的电荷产生的电势

李超 周云松   

  1. 首都师范大学物理系,北京100037
  • 出版日期:2006-05-25 发布日期:2006-05-20

Potential profiles due to the charges distributed in space of columnar regions

  • Online:2006-05-25 Published:2006-05-20

摘要: 将无限长线电荷看成二维平面上的一个“源”,利用电势叠加原理计算了无限长柱形均匀分布的电荷产生的电势.这些柱体的截面电荷分布包括可解析表示和不可求解表示两种,后者可以通过数值计算给出结果.因此这种方法实际上可以计算任意截面柱形电荷分布的电势.通过计算,展示了各种电荷分布所产生电场的特性和共同特征.

关键词: 电势分布, 电荷分布, 电势叠加原理

Abstract: The electric potentials given rise by the charges even distributed in space of pillar regions are calculated by means of the superposition principle of electric potentials. Here we regard the charges distributed in an infinite line as a "source charge" in two-dimensional plane and consider the charges distributed in pillar regions as assembly of the "source charges". In complicated cases, the charge distributions can not be expressed by two-dimensional analytic functions, the electric potential may be calculated with computer easily. The characteristics of the electric potentials corresponding to different charge distributions are displayed.

Key words: electric potential, charge distribution, superposition principle of electric potential

中图分类号: 

  • O441.1