Abstract

This paper considers the unknown electrical resistance (measurand) as the numerical result of the measurement that was carried out by means of the well-known direct comparison measurement method using an appropriate standard resistor and voltmeter. In the literature, this measurement method is also referred to as a series comparison method. This method of measurement is one of the indirect methods and is suitable for measuring low resistance. This paper presents two approaches for evaluating the unknown electrical resistance and its associated combined standard uncertainty. The entire process of evaluating the combined standard uncertainty that is associated with the measurand and the standard uncertainties that are associated with the analyzed input quantities has been entirely performed in accordance with the applicable international recommendations and guidelines for the uncertainty of measurement. The analyzed approaches for evaluating the combined standard uncertainty are designed to be universal and valid both for the mutually non-correlated input quantities and for the mutually correlated input quantities, which can be obtained from a single observation, or repeated observations or by other means. This paper can substantially contribute to the measurements in electrical engineering and education.

Highlights

  • When the result of a quantity measurement is reported, it requires the estimated value of the measurand and the uncertainty that is associated with that value

  • This paper considers the unknown electrical resistance as the numerical result of the measurement that was carried out by means of the well-known direct comparison measurement method using an appropriate standard resistor and voltmeter

  • The GUM indicates that the formal definition of “uncertainty of measurement” refers to a parameter that is associated with the measurement result characterizing the dispersion of values that are reasonably attributable to the measurand

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Summary

Introduction

When the result of a quantity measurement is reported, it requires the estimated value of the measurand (the quantity to be measured) and the uncertainty that is associated with that value. The uncertainty of measurement as an attribute for expressing the quality of a measurement result is relatively new in the history of measurement. The acceptance of uncertainty of measurement as a unique numerical expression of the measurement result quality ensued from many years of discussions resulting in international agreements that are outlined in the guidelines [1]. That authoritative document is popularly known as the GUM, (which stands for guide to the expression of uncertainty in measurement). The GUM indicates that the formal definition of “uncertainty of measurement” refers to a parameter that is associated with the measurement result characterizing the dispersion of values that are reasonably attributable to the measurand. Other standards and guides, such as [2,3], are strictly based on the guide

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