A Universal Geometry for Calculable Frequency-Response Coefficient of LCR Standards and New 10-MHz Resistance and 1.6-MHz Quadrature-Bridge Systems

摘要

A new four terminal-pair (4TP) coaxial-bridge system for accurate resistance measurements at frequencies up to 10 MHz has been developed. The deviation of a calculable 4TP 1-$hbox{k}Omega$ resistance standard, from its dc value, was measured to be $-$ 4380 $pm$ 712 $muOmega/Omega (2sigma)$ at 10 MHz, which compares well with its calculated value of $-$4010 $pm$ 850 $muOmega/Omega$. Quantitative comparisons have also been made between our measurements and calculations with measurements on a state-of-the-art 4TP high-frequency (HF) commercial impedance analyzer, highlighting significant differences for the 1-$ hbox{k}Omega$ measurements at frequencies up to 10 MHz. A quadrature-bridge system, with two 100-pF capacitance and two 1-$hbox{k}Omega$ resistance standards, operating at 1.6 MHz, has also been developed which verifies the consistency of a number of HF techniques (based on the closure of the metrological impedance triangle) to 0.17%. Finally, we also extend the 4TP calculable geometry of the resistance standards to include capacitance and inductance standards ( LCR), thus realizing a universal geometry for precision LCR standards with a calculable frequency-response coefficient.