Abstract：The goal of the resistance and capacitance bridge is to compare resistance with capacitance. To review the important role played by the resistance and capacitance bridge in the entire field of electrical measurement, and then a detailed analysis of the traditional resistance and capacitance bridge about the basic principles and international profile in research is demonstrated, and finally in-depth analysis about some inherent shortcomings in these bridges is pointed out in the first time, and at the same time several new research programs are put forward.
［1］Thompson A M, Lampard D G. A New Theorem in Electrostatics and Its Application to Calculable Standards of Capacitance［J］. Nature, 1956,177(4515): 888.
［2］Thompson A M. The precise measurement of small capacitance［J］.IEEE Transactions on Instrumentation and Measurement,1983,32: 47-50.
［3］Cutkosky R D. Evaluation of NBS unit of resistance based on a computable capacitor［J］. Journal of Research of the National Bureau of Standards, 1961, 65 A: 147-158.
［4］Cutkosky R A. Four Terminal Pair Networks as Precision Admittance and Impedance Standards［J］. IEEE Transactions on Communication and Electronics, 1964,(70): 19-22.
［5］Vonklitzing K, Ebert G. Application of the Quantum Hall-Effect in Metrology［J］. Metrologia, 1985,21(1): 11-18.
［6］Vonklitzing K, Dorda G, Pepper M. New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance［J］. Physical Review Letters, 1980,45(6): 494-497.
［7］Mills I M, Mohr P J, Quinn T J, et al. Redefinition of the kilogram: a decision whose time has come［J］. Metrologia, 2005,42(2): 71-80.
［8］唐统一, 张钟华, 张叔涵. 近代电磁测量［M］. 北京: 中国计量出版社, 1991.
［9］Thompson A M. AC bridge methods for the measurement of three-terminal admittances［J］.IEEE Transactions on Instrumentation and Measurement, 1964,13(4): 189-197.
［10］Cutkosky R D. Techniques for Comparing Four-Terminal-Pair Admittance Standards［J］. Journal of Research of the National Bureau of Standards Section C-Engineering and Instrumentation, 1970, 74 C (3,4): 63-78.
［11］Kibble B P, Rayner G H. Coaxial AC Bridge［M］. Bristol: Adam Hilger Ltd, 1984.
［12］中国计量科学研究院电磁室. “电阻电容电感的绝对测量（计算电容法）”课题研究报告之六-电阻电容电桥［R］.1975.
［13］Shields J Q. Measurement of Four-Pair Admittances with Two-Pair Bridges［J］. IEEE Transactions on Instrumentation and Measurement, 1974, 23(4): 345-352.
［14］Trapon G, Thevenot O, Lacueille J C, et al. Determination of the von Klitzing constant RK terms of the BNM calculable capacitor-fifteen years of investigations［J］. Metrologia, 2003,40(4): 159-171.
［15］Jeffery A, Elmquist R E, Shields J Q, et al. Determination of the vonKlitzing constant and the fine-structure constant through a comparison of the quantized Hall resistance and the ohm derived from the NIST calculable capacitor［J］. Metrologia, 1998,35(2): 83-96.
［16］Small G W, Ricketts B W, Coogan P C, et al. A new determination of the quantized Hall resistance in terms of the NML calculable cross capacitor［J］. Metrologia, 1997,34(3): 241-243.
［17］Melcher J, Schumacher B. Quadrature Bridge for the Comparison of Quantum Hall Resistors with Capacitors［C］//IEEE. CPEM－94.Digest., Boulder, CO, USA, 1994, 110-111.
［18］张钟华, 王晓超. NIM用计算电容测定的量子化霍尔电阻的SI值［J］. 计量学报, 1995,16(1): 1-5.
［19］Chua S W, Kibble B P, Hartland A. Comparison of capacitance with AC quantized Hall resistance［C］//IEEE. CPEM－98.Digest., Washington, DC, USA, 1998,418-419.
［20］Schurr J, Burkel V, Kibble B P. Realizing the farad from two ac quantum Hall resistances［J］. Metrologia, 2009,46(6): 619-628.
［21］Melcher J, Schumacher B. Quadrature Bridge for the Comparison of Quantum Hall Resistors with Capacitors［C］//IEEE. CPEM－94. Digest., Boulder, CO, USA,1994, 110-111.
［22］Nakamura Y, Fukushima A, Sakamoto Y, et al. A multi-frequency quadrature bridge［C］//IEEE. CPEM－98.Digest., Washington, DC, USA, 1998,42-43.
［23］Small G W, Fiander J R, Coogan P C. A bridge for the comparison of resistance with capacitance at frequencies from 200 Hz to 2 kHz［J］. Metrologia, 2001,38(4): 363-368.
［24］Trinchera B, Callegaro L, DElia V. Quadrature bridge for R-C comparisons based on polyphase digital synthesis［J］. IEEE Instrumentation and Measurement, 2009,58（1）: 202-206.
［25］Moore W J M, Miljanic P N. The current comparator［M］. London: Peter peregrinus ltd, 1988.
［26］Jiang Lan, Zhonghua Zhang, Zhengkun Li. A high accurate signal generator based on Direct Digital Synthesis［C］//IEEE.CPEM－2010.Digest., Daejeon, Korea,2010, 480-481.
2011, Vol. 32 
