梯形电阻网络与结点电压的研究  

Ladder-Shaped Resistance Network and Votage of Joint

作　　者：彭沛夫[1] 张桂芳[2] 

机构地区：[1]湖南师范大学物理与信息科学学院,湖南长沙410083 [2]湖南涉外经济学院,湖南长沙410012

出　　处：《吉首大学学报（自然科学版）》2006年第2期70-73,共4页Journal of Jishou University(Natural Sciences Edition)

基　　金：湖南省教育厅科学研究项目(05C408)

摘　　要：由递推关系推导出梯形电阻网络的等效电阻,并证得当级数满足一定的条件时,等效电阻的值在一定误差范围之内才能接近一个定值,并且由递推关系推导出梯形电阻网络的结点电压公式,这种分析方法可以应用在复杂电路网络及算法分析中.The relationship of recursion is used to deduce the equivalent and it is proved that when in certain condition of series, the equivalent resistance of ladder-shaped resistance network, resistance can reach a certain value with some error range. Meanwhile, this analysis method of working out ladder-shaped resistance network＇ s voltage of joint recursion relationship can be used in complex circuit network and analysis of algorithm practically. through

关 键 词：梯形网络 等效电阻 母函数 结点电压 递推关系 

分 类 号：TM133[电气工程—电工理论与新技术]