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
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
| Symbol | Meaning | Unit |
|---|---|---|
r0 | Resistance at 0 °C (100 for PT100, 1000 for PT1000) | Ω |
t | Temperature | °C |
rm | Measured resistance (for 0 °C and above) | Ω |
R | Resistance at that temperature | Ω |
TM | Temperature from the measured resistance | °C |
SN | Sensitivity at that temperature | Ω/°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.