Description And Calculation Of The Flux Lines And Study Of The Defected Problems In The Static Electricity Field

Applying the conception of flux lines to the theory of electromagnetic field makes abstract electrostatic field visible and intuitive. But due to the difficulties of the theoretical calculation and the limitation of the technique of image display, only some two-dimensional graphs of electromagnetic field of a planar set of point charges or symmetrically and uniformly charged bodies, which ignores the boundary effect, are introduced in the present electromagnetic teaching materials. For complicated uniformly charged bodies, the electric field lines and equipotential lines, are hard to be depicted, this brings much inconvenience for the acquaintance of the electrostatic field. Has the teaching material in the theory of electromagnetic field teaching many, but in these teaching material aspect of knowledge quite is narrow, but also has many questions also to wait for performs from a higher stratification plane from high stratum to explain. In view of the above existence question, several typical and difficult problems that belong to the scope of electrostatic field are analyzed and discussed in this paper.The paper mainly is aims at researching the solution of the flat surface field under several kinds of different boundary conditions. In the usual electromagnetic teaching material, the superposition principle is the most basic method of flat field solution this method although applies widely, but regarding some complex side value question, obtains only is the formal solution. But this article mainly utilizes some specific skilled computational methods to solve some flat field questions of complex boundary shape Has many kinds of methods of solving the two-dimensional Lap lace equation or the Poisson's equation, like separation of variables, Green's function law or alternative means, but if their boundary shape quite complex, solves with these usual methods can extremely difficult, even if has the analytic solution. Regarding the existence the peculiar circumstance, in general is impossible to extract, moreover obtains only can be the approximate solution.The conformal mapping method and the electricity are specific skilled methods of The flat field computational method, if uses fittingly, can make up the shortages of the other methods, such as the separation of variables and so on. Moreover may cause the solution nearby the complex electrostatic field greatly simplification. In this text the solution of the potential of a metal ball and an infinitely big conductor plane system give an obvious example. if uses with the computation software package unifies, but also may obtain the rare the visible result of Poisson's equation ,in mathematics physics method teaching material which as soon as sees.