复合比率网络理论

A Treatise on the Conpound Ratio Network

本文给出由两个比率器件组合而成的复合比率网络的定义、性质和普遍结论。给出电阻型、电容型和电感型的复合比率网络的特征方程、比率关系、功率分布和恒定阻抗的理论。从复合比率网络的研究结果，导出了等轴双曲线函数电桥的原理和应用。

Abstract In this paper the conception,definition and the research conclusions ofthe Compound Ratio Network(CRN) is given,The CRN plays a role of new ratio device ,provide that fundamental function of ZxZs=Z2 is satisfied(Zx-the impedance under test,Zs-thestandard impedance,Z-the fixed impedances in CRN)。The voltage divider compound ratio network(CVRN)is cornposed of two common volt-age dividers in proper way. The current divider compound ratio network(CCRN)can be alsocomposed of two common current divider in proper way. Both of these compound ratio net-work possess the performance of ratio device and constancy of input impedance。It has beenproof that CRN is a new ratio device in Metrology.Furthermore,let a CRN combinated with a suitable null detecting circuit, a compoundRatio Network Bridge(CRNB) with a condition of balance of ZxZs=Z2,which is as same asthat in CRN。 There fore,the CRN Bridge will be also possess the leading features as follows:the input and output impedance can be kept constancy, the linearity is better and has equipower between Zx and Zs, The CRN Bridge is valid and versatility by a series model experi-ments and quite different from wheatstone bridge.