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一类含有复杂电阻的n阶三角形网络的等效电阻公式
Equivalent resistance formula of an n- triangular network with complex resistors
【摘要】 研究了一类n阶三角形电阻网络的等效电阻.采用建构等效模型的方法建立了二阶非线性差分方程模型,采用等效变换的方法给出了非线性差分方程的解,获得了n阶三角形电阻网络的等效电阻公式,并对所得结论进行了分析与比较.最后我们提出了一个有待解决的深刻问题.
【Abstract】 Equivalent resistance of an n- triangle network with complex resistors is researched. We use the method of constructing equivalent model to establish a second- order nonlinear difference equation model. The solution of the nonlinear difference equation is given and the equivalent resistance formula of an n- triangular resistance network as the final purpose is obtained. The results are analyzed and compared,and we proposed a profound problem to be solved.
【关键词】 三角形电阻网络;
等效电阻;
等效模型;
非线性差分方程;
【Key words】 triangular resistor network; equivalent resistance; equivalent model; nonlinear difference equation;
【Key words】 triangular resistor network; equivalent resistance; equivalent model; nonlinear difference equation;
【基金】 江苏省教育科学“十二五”规划项目(D/2013/01/048);南通大学教学改革研究项目(2014B9)资助
- 【文献出处】 大学物理 ,College Physics , 编辑部邮箱 ,2015年06期
- 【分类号】O441.1
- 【被引频次】16
- 【下载频次】137