Resistor tolerance 2026-10-14
Resistor tolerance specifies the permissible manufacturing deviation of a resistor's electrical resistance from its nominal value under stated conditions. For nominal electrical resistance and fractional resistor tolerance , the specified range is . This differs from measurement uncertainty: resistor tolerance describes a component specification, while measurement uncertainty describes knowledge of a measured value; the tolerance alone is not a probability distribution for that value.
Two nominally equal resistors can have different actual electrical resistances, changing their voltage divider ratio even without an external electrical load. In a loaded voltage divider, use the actual electrical resistances to calculate both the unloaded output and the Thévenin resistance governing voltage divider loading error. A mismatch from resistor tolerance and a change from voltmeter loading are distinct effects that can occur together.
Voltmeter loading 2026-10-14
Voltmeter loading is the change in an electric potential difference caused by the electric current drawn by the measuring voltmeter.
For a loaded voltage divider in steady direct current, a voltmeter connected across the lower resistor places its finite input electrical resistance in parallel with the lower arm's electrical resistance and any intended electrical load of electrical resistance . With positive, fixed electrical resistances, an upper resistor of electrical resistance , and an ideal voltage source supplying electric potential difference , Kirchhoff's current law and Ohm's law giveHere is the connected circuit's electric potential difference across the voltmeter; omit if there is no intended electrical load. The parallel connection and need for large input electrical resistance are standard voltmeter operating principles.[ref]
10.4 Electrical Measuring Instruments. §10.4, Measuring Voltage with a Voltmeter: parallel connection and large input resistance
Voltmeter loading is a bias relative to the target electrical circuit with the voltmeter absent and any intended electrical load still present. Voltage divider loading error instead compares the attached-load output with the wholly unloaded output. An accurate readout of , supported by measurement calibration, can still differ from either target: calibration accuracy concerns the indication of the connected electric potential difference, whereas voltmeter loading changes that electric potential difference itself.