电势多极展开的一种导出方法

A Deduction Method of Electric Potential Multipole Expansion

提出了电势多极展开的一种导出方法:先分析电偶极子、同轴电四极子、同轴电八极子产生的电势,然后将带电体中的任一电荷微元产生的电势等价为同轴的电荷元、电偶极子、电四极子、电八极子等电多极子产生的电势叠加,从而得到电势的多极展开.

This paper puts forward a deduction method of electric potential multipole expansion：analyses first the electric potential produced by electric-dipoles,coaxial electric four molecules and the electric eight-pole,and then exchange the electric potential produced by any electric charge infinitesimal of the electrified body with the addend of the electric potential produced by electric multiple molecules such as coaxial electric charge unit,electric-dipoles,electric four molecules,electric eight-pole of equal value,so the multipole expansion of electric potential can be obtained.