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两半无限长圆柱形导体管内电位的计算与分析
引用本文:何红雨,保宗悌.两半无限长圆柱形导体管内电位的计算与分析[J].大学物理,2004,23(2):17-20.
作者姓名:何红雨  保宗悌
作者单位:右江民族师范高等专科学校,物理与电子信息科学系,广西,百色,533000;华南师范大学,物理与电信工程学院,广东,广州,510631
摘    要:分别运用分离变量法和有限差分法计算和分析两半无限长圆柱形导体管内电位的解析解和数值解,并通过MAT LAB编程算出其场域中一些点的电位结果,由相对误差的比较说明数值解的有效性,以此对保角变换的解析解结果进行了验证,找到缺陷并作了修正,从而说明把数值计算与求解析解综合起来分析场域内的电位分布会使结果更加可靠和准确.

关 键 词:圆柱形导体管  电位  解析解  数值解  MATLAB
文章编号:1000-0712(2004)02-0017-04
修稿时间:2003年3月14日

Analysis and calculation of electric potential distribution in infinite two-half-cylindrical conductor tube
HE Hong-yu,BAO Zong-ti.Analysis and calculation of electric potential distribution in infinite two-half-cylindrical conductor tube[J].College Physics,2004,23(2):17-20.
Authors:HE Hong-yu  BAO Zong-ti
Institution:HE Hong-yu~1,BAO Zong-ti~2
Abstract:Taking advantage of separation of variables and finite difference method the analytic and numerical solutions of potential distribution in infinite two-half-cylindrical conductor tube are obtained and analysed, and the results of the electric potential of some places of fields area are figured out by compiling computer program of MATLAB language. Comparing the relative errors between them, the numerical method is effective. Thereout taking advantage of the numerical, the analytic solution of conformal transformation is validated, and the flaw of the analytic solution is found and corrected.
Keywords:two-half-cylindrical conductor  electric potential  analytic solution  numerical solution  MATLAB  
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