| 梯形电阻网络等效电阻及节点电压的递推计算通式 |
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| 引用本文： | 耿恒山,李京秀. 梯形电阻网络等效电阻及节点电压的递推计算通式[J]. 河北工业大学学报, 2002, 31(6): 58-61 |
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| 作者姓名： | 耿恒山 李京秀 |
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| 作者单位： | 1. 河北工业大学,计算机科学与软件学院,天津,300130
2. 洛阳工业高等专科学校,计算机系,河南,洛阳,471003 |
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| 摘 要： | 通过求解梯形电阻网络中的递推关系，推导出梯形电阻网络中等效电阻及节点电压的计算通式；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；提出梯形电阻网络按无穷网络简化计算的条件。
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| 关 键 词： | 递推计算通式 梯形电阻网络 递推关系 母函数 等效电阻 节点电压 电路 |
| 文章编号： | 1007-2373(2002)06-0058-04 |
Calculation of Equivalent Resistance and Node Voltage on Ladder Resistance Network |
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| GENG Heng-shan,LI Jing-xiu. Calculation of Equivalent Resistance and Node Voltage on Ladder Resistance Network[J]. Journal of Hebei University of Technology, 2002, 31(6): 58-61 |
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| Authors: | GENG Heng-shan LI Jing-xiu |
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| Abstract: | By analyzing recursion relation of ladder resistance network, the formulas of calculating equivalent resistance and node voltages on ladder resistance network have been derived. It was proved that equivalent resistance of infinity ladder resistance network is a constant, its calculating formula has been derived. Furthermore, the condition to simplify calculation of equivalent resistance on ladder resistance network by treating this network as infinity ladder resistance one was proposed in this paper. |
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| Keywords: | ladder resistance network recursion relation generating function equivalent resistance node voltage |
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