摘要
在保角变换的基础上利用分离变量法求出了偏心圆柱形电容器电位函数的解析解,并借助有限差分法和MATLAB编程对其电位分布进行数值求解,通过数值解与解析解的结果比较说明解析解是正确的,由此分析场域内等位线的分布也是正确的.因此,在计算与分析过程中,把数值解与解析解两种方法结合起来,既可加深对场域中电位分布函数的理解,又可起到相互验证的作用.
The analytic solutions of the electric potential distributes inside a bias round-pole capacitor are extracted by separation of variables method based on conformal transformation,and the numerical calculation on electric potential distributes inside a bias round-pole capacitor is done by finite difference calculus and compiling computer program of MATLAB language.Comparing the results of the analytic solution with the results of the arithmetic solution,the analytic solutions are correct,and the pattern of equipotentials is also correct.Therefore,combining method of analytic solutions and method of the numerical calculation not only deepens the understanding of electric potential distribution but also produces effect of validating each other in the process of calculation and analysis.
出处
《安徽师范大学学报（自然科学版）》
CAS
北大核心
2010年第6期543-546,共4页
Journal of Anhui Normal University(Natural Science)
基金
广西教育厅科研项目(G2007MS083)
关键词
圆柱形电容器
电位
解析解
数值解
MATLAB
a bias round-pole capacitor
electric potential
analytic solutions
numerical solution
MATLAB
