Paritian

Electricity

PT100 / PT1000 RTD Calculator (IEC 60751)

Resistance of a platinum PT100 or PT1000 sensor at any temperature, and the temperature that a measured resistance means, using the IEC 60751 equation.

Results

Resistance at that temperature 138.5055 Ω
Temperature from the measured resistance 99.985 °C
Sensitivity at that temperature 0.3793 Ω/°C
How it changes
Resistance at that temperatureTemperature -50 – 200. Resistance at that temperature: 80.3063 → 175.856Resistance at that temperature050100150200-50050100150200Temperature (°C)

The dashed line marks the value you entered.

What this tool does

Platinum resistance thermometers change by about 0.385 Ω per °C (for a PT100), slightly less as the temperature rises — the Callendar–Van Dusen equation with the standard IEC 60751 coefficients captures that curvature, adding an extra term below 0 °C. A PT100 reads 100 Ω at 0 °C and about 138.5 Ω at 100 °C. Because the change per degree is small, lead-wire resistance matters: use a 3- or 4-wire connection for anything precise. The reverse calculation here is for 0 °C and above.

Formula

R(T) = R₀(1 + A T + B T²) for T ≥ 0 · + C (T − 100) T³ below 0 °C (IEC 60751: A = 3.9083×10⁻³, B = −5.775×10⁻⁷, C = −4.183×10⁻¹²)

Variables

SymbolMeaningUnit
r0Resistance at 0 °C (100 for PT100, 1000 for PT1000)Ω
tTemperature°C
rmMeasured resistance (for 0 °C and above)Ω
RResistance at that temperatureΩ
TMTemperature from the measured resistance°C
SNSensitivity at that temperatureΩ/°C

Worked example

  • Resistance at 0 °C (100 for PT100, 1000 for PT1000)100 Ω
  • Temperature100 °C
  • Measured resistance (for 0 °C and above)138.5 Ω
  • Resistance at that temperature138.5055 Ω
  • Temperature from the measured resistance99.985 °C
  • Sensitivity at that temperature0.3793 Ω/°C

Limitations

  • For work that must comply with a standard or be signed off, check the result against the applicable code and have it reviewed by a qualified engineer.
  • Coverage and consumption figures vary between products. Take the values from the manufacturer's datasheet for the product you are actually using.