ClueLuma

Linear analog scaling calculator

Linear scaling maps a configured signal range into engineering units; subtract both lower endpoints.

Units
Y=Ylo+(I−Ilo)×(Yhi−Ylo)Ihi−IloY = Y_{\text{lo}} + \frac{\left(I - I_{\text{lo}}\right) \times \left(Y_{\text{hi}} - Y_{\text{lo}}\right)}{I_{\text{hi}} - I_{\text{lo}}}

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

°F
°F
mA
mA
mA
°F

Worked example

Given

  • YloY_{\text{lo}} = 40 °F
  • YhiY_{\text{hi}} = 100 °F
  • II = 12 mA
  • IloI_{\text{lo}} = 4 mA
  • IhiI_{\text{hi}} = 20 mA
Y=40+(12−4)×(100−40)20−4=70Y = 40 + \frac{\left(12 - 4\right) \times \left(100 - 40\right)}{20 - 4} = 70

Symbols and units

SymbolMeaningUnit
YYscaled engineering value°F
YloY_{\text{lo}}low engineering range°F
YhiY_{\text{hi}}high engineering range°F
IImeasured loop currentmA
IloI_{\text{lo}}low signal rangemA
IhiI_{\text{hi}}high signal rangemA

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.