journal6 ›› 2006, Vol. 27 ›› Issue (2): 70-73.

• 物理与电子 • 上一篇    下一篇

梯形电阻网络与结点电压的研究

  

  1. (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)
  • 出版日期:2006-03-25 发布日期:2012-09-16
  • 作者简介:彭沛夫(1955-),男,湖南省岳阳市人,硕士,湖南师范大学物理与信息科学学院副教授,主要从事计算机控制优化、电路理论研究.
  • 基金资助:

    湖南省教育厅科学研究项目(05C408)

Ladder-Shaped Resistance Network and Votage  of Joint

  1. (1.Department of Electronics,Physics and Information Science College,Hunan  Normal University,Changsha 410081,China;2.Hunan College of International Economics,Changsha 410081,China)
  • Online:2006-03-25 Published:2012-09-16

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.

关键词: 梯形网络, 等效电阻, 母函数, 结点电压, 递推关系

Abstract: The relationship of recursion is used to deduce the equivalent resistance of ladder-shaped resistance network,and it is proved that when in certain condition of series,the equivalent 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 through recursion relationship can be used in complex circuit network and analysis of algorithm practically.

Key words: ladder-shaped network, equivalent resistance, mother function, voltage of joint, the relationship of recursion

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