期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
A General Formula on Equivalent Resistance of Regularly Connected Polygon Resistance Network
摘要/Abstract
采用网络分析构建差分方程模型的方法，实现了多边形电阻网络等效电阻的统一建构，获得了简洁的通用公式，并且给出了用费波那契数列表达的结果，同时将多边形概念拓展到非平直空间的二边形(二角形)。最后，将所得结果与相关结果进行了比较。所得结论也适用于规则联接的多边形电容网络。
Analyzing the network and constructing a model based on difference equation and carried out unifying of equivalent resistance of polygon resistance network.The paper gotA laconic general formula of equivalent resistance of polygon resistance network is gotten by analyzing the network,and a simple expression of Fibonacci Sequence is acquired in the meantime.The polygon concept is also expanded to two-side structure of the non-euclid space.the results are compared with connected argument.The conclusion is also applicable to some regularly connected polygon capacitor networks.