摘要
鉴于电阻网络模型研究的重要意义,以及3×n阶电阻网络尚没有完全解决,本文研究了3×n阶电阻网络的对角等效电阻,通过网络分析构建差分方程组模型,通过矩阵变换方法巧解差分方程组,根据具体的边界条件,给出了3×n阶网络对角等效电阻的一个简洁的普适规律.
In view of the importance of the resistor network model and the 3×n-step resistor network is still not fully resolved, this paper discusses the equivalent resistor of 3×n-step diagonal resistor network. By establishing the network＇s differential equations model in terms of network analysis, we resolve this differential equations through matrix transformation. Depending on the boundary conditions, a beautiful, general formula for the diagonal resistance of 3×n-step diagonal resistor network is proposed.
出处
《大学物理》
北大核心
2011年第11期18-21,共4页
College Physics
基金
南通市应用研究计划项目(K200804)
南通市科技创新项目(AL2009020
AA2008017)
南通市科研机构建设项目(2009-03)资助
关键词
3×n阶网络
对角等效电阻
差分方程模型
矩阵变换
普适规律
：3×n layered network
diagonal equivalent resistance
differential equation
matrix transformation
general formula
