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Principles of Laboratory Practice

Calibration and Systematic Errors

Physics I 202 words Free to read

Calibration Fundamentals

Calibration links an instrument's reading to a known standard. Without it, all measurements remain systematically shifted.

Error TypeDescriptionExample
Zero offsetDoesn't read zero at zeroScale reads 0.3 g0.3\text{ g} empty
Scale factorConsistently high or lowRuler expanded by heat
Non-linearityError varies across rangeSpring past Hooke's law
HysteresisDepends on approach directionMechanical backlash

Calibration procedure measures known standards across your range, plots measured versus true values, and fits a calibration curve (y=mx+by = mx + b). Apply the inverse to correct future readings.

Errors & Accuracy

Detect systematic errors by comparing with accepted values, using different methods, or checking residuals (measured minus fitted values).

TermDefinition
AccurateClose to true value; low systematic error
PreciseMeasurements cluster tightly; low random error

Common pitfall: Averaging cures only random error. A miscalibrated instrument delivers precision without accuracy. Systematic errors do not decrease with more measurements. The only cure is identifying and removing the source.

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Principles of Laboratory Practice