Measurement method 2026-11-05
A measurement method describes the general logical arrangement of operations used to make a measurement. A measurement procedure supplies the detailed instructions for implementing that arrangement with a particular measuring system. The VIM lists substitution measurement methods, null measurement methods, differential methods, and direct or indirect methods among the possible descriptions.[ref]
For an original substitution measurement method, drive an unknown resistor with a fixed electric current and record a voltmeter indication. Replace it by an adjustable reference resistor without changing or the other relevant conditions, and adjust the reference until the indication agrees. In an ideal measurement model,
so matching implies . The common additive readout offset cancels. This cancellation depends on the current, connections and offset remaining common; the name of the method alone does not guarantee those conditions.
A null measurement method instead adjusts a reference to make a difference signal vanish, as in a balanced Wheatstone bridge. A resistance inferred from separately measured electric potential difference and electric current uses the relation . These are descriptions of how the information is obtained; the operational record must still specify apparatus, settings, timing, reference values and the measurement uncertainty. The measurement principle concerns the physical phenomenon used, while the measurement method concerns the organization of the measurement. Different methods can exploit the same physical principle.
Null detector 2026-11-05
A null detector indicates whether a residual signal has been brought sufficiently close to zero in a null measurement method. A galvanometer between the middle junctions of a Wheatstone bridge is a concrete example: equal junction potentials give zero detector current.[ref] Its useful property is the ability to distinguish small residuals and their sign near balance.
For an original electronic model, let the detector output be
where is the residual electric potential difference, is gain, an output zero offset and an output noise term. With known zero offset and negligible noise, an output threshold at corresponds to . It is a resolution criterion for this model, not a total measurement uncertainty.
A false zero exposes another limit. If , a displayed can occur at for the same gain. Increasing gain improves the output response to a given residual, but measurement calibration must still address offset and noise. Polarity reversal measurement can help separate signal from an unchanged internal offset: if
then and . The separation assumes reversal changes the signal sign while leaving the offset unchanged.
Detector loading also matters away from null. For a residual source with series electrical resistance connected to detector input resistance , the detector receives . The ideal zero stays at , but a low input resistance reduces the response to a small departure from it. Verify the response with known small positive and negative signals, allow settling, and investigate persistent offsets. A quiet zero may otherwise reflect a broken connection or insufficient sensitivity rather than actual balance. Check the working range when approaching null because detector saturation invalidates the assumed linear response.
Null measurement method 2026-11-05
A null measurement method adjusts a reference or a system setting until a difference signal is brought to zero. A null detector tests the residual mismatch; the final measured quantity value follows from the reference and the balance condition. The VIM lists null measurement among measurement methods.[ref]
A Wheatstone bridge provides a concrete electrical apparatus. The PHYWE manual connects a source across two resistor dividers and a current detector between their middle junctions; balance occurs when those junction potentials agree and detector current vanishes.[ref] A sliding-wire implementation adjusts the divider ratio continuously.
For an original notation, let the left branch contain upper resistance and lower , while the right contains upper unknown and lower reference . With source electric potential difference and negligible loading at balance, the middle-junction potentials above the lower supply terminal are
Setting yields
For , and , the balance identifies independently of the nonzero source magnitude in this ideal model.
Zero on a display has finite meaning. With , the derivative of residual with respect to at this balance is . A residual magnitude below therefore corresponds locally to about of unresolved mismatch. A detector zero offset can also shift the apparent balance. The null measurement method reduces reliance on calibrated detector gain at exact balance, but reference uncertainties, lead effects, detector sensitivity and instrumental drift remain relevant to the complete measurement result.