摘要
再次研究了一般情形时的2×n阶电阻网络的等效电阻.应用网络分析和构建巧妙的矩阵变换方法,给出了2×n阶电阻网络在一般情形时的一个普适规律和无穷时的极限规律.与其它相关结果比较发现,所得等效电阻通用公式对于任意参数具有形式不变性.
The equivalent resistance of 2 ×n network is studied again. By means of virtual current method, the 2 ×n network is analyzed and a model of two-variable difference equation is proposed. The matrix transform is constructed by artifice. Based on different marginal conditions, a general formula for the inlet resistance of 2×n network and an utmost rule for the equivalent resistance of 2×n-network are presented. We found the general formula is fixity in the form for random parameter when the result is compared with others.
出处
《南通大学学报（自然科学版）》
CAS
2010年第1期86-89,共4页
Journal of Nantong University(Natural Science Edition)
基金
江苏省教育科学"十一五"规划立项课题(D/2009/01/127)
关键词
2×n阶网络
等效电阻
矩阵变换
普适规律
形式不变性
2×n network
equivalent resistance
matrix transform
general formula
fixity in the form
