梯形电阻网络的两个通项公式  

Deriving of Two Formulas on Ladder-shaped Resistance Network

作　　者：李京秀[1] 

机构地区：[1]洛阳工业高等专科学校计算机系,河南洛阳471003

出　　处：《电气电子教学学报》2003年第2期68-70,共3页Journal of Electrical and Electronic Education

摘　　要：通过求解梯形电阻网络中的递推关系 ,推导出计算梯形电阻网络中等效电阻和节点电压的通项公式 ;证明了无穷梯形电阻网络等效电阻为常数 ,且给出其计算公式 ;By exploring recursion relation of ladder resistance network, the formulas of calculating equivalent resistance and node voltage on ladder resistance network have been derived. It was proved that equivalent resistance of infinity ladder resistance network is a constant, whose calculating formula has been derived. Furthermore, this paper gives the condition to simplifty calculation of equvialent resistance on ladder resistance network by treating this network as infinity ladder resistance one.

关 键 词：梯形电阻网络 递推关系 等效电阻 节点电压 母函数 

分 类 号：TN711.2[电子电信—电路与系统]