Measurement of Resistance Standards by a Precision LCR Meter at Frequencies up to 2 MHz

TL;DR

This study measures a 10-kohm resistance standard using a commercial LCR meter up to 2 MHz, demonstrating cable correction and systematic effect analysis for high-accuracy resistance calibration.

Contribution

It provides a method to correct cable effects and systematically analyze the LCR meter for high-frequency resistance measurements up to 2 MHz.

Findings

Cable correction reduces measurement uncertainty to 9E-6.

Systematic effects are reproducible and can be calibrated against a standard.

Measurement accuracy approaches the LCR meter's resolution.

Abstract

We report on two-terminal-pair and four-terminal-pair test measurements of a 10-kohm resistance standard by means of a commercial precision LCR meter at frequencies up to 2 MHz. In the case of a two-terminal-pair configuration, we demonstrate that the effect of 2.5 m long measuring cables, which are inevitable for some special applications, can be corrected in the whole frequency range up to 2 MHz with an uncertainty of 9E-6 (k = 1) relative to the dc resistance value. Furthermore, the systematic effects of the LCR meter were investigated. Though distinctly larger than the resolution of the LCR meter, these effects are accurately reproducible. As such it should be possible in the future to calibrate the LCR meter against a well-known calculable high-frequency resistance standard with an uncertainty close to the few-parts-per-million type-A uncertainty of the LCR meter.