平面点电荷体系的电场线模拟

由于获得平面内不共线的点电荷体系的电场线方程的解析式十分困难,用传统的解析法模拟平面内任意点电荷体系电场线有很大的局限性。文中结合电场方程和泰勒展开式,利用电场线的性质,提出一种新的方法来模拟点电荷体系的电场线,打破了解析法模拟电场线的局限性,适用于平面内任意分布的点电荷系统。首先对这种新的模拟方法进行了公式推导,然后给出了模拟算法,并用Mathematica对两种平面内的三点电荷体系的电场线进行了模拟。

Simulation of Point Charge System in a Plane

Because of the difficulty of deriving the equation for electric field line of a point charge system not on a line,there＇s a considerable limitation to simulat electric field line of an arbitrary point charge system using traditional analytical method. Combined with the equation for electric field and Taylor series,along with the property of electric field line,one proposes a new method for simulating the electric field line of a point charge system which breaks the limitation of traditional analytical method. It applies to an arbitrary point charge system. First the equation is derived and then the simulation algorithm is given. Last,a simulation of two kinds of three points charge system in a plane using Mathematica is given.