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Pt100 / Pt1000 calculator: resistance and temperature

Converts between temperature and resistance of a Pt100 or Pt1000 platinum RTD — practically from a table or exactly with the IEC 60751 model. For service, commissioning or checking a measuring input. Free, no sign-up; the calculation runs only in your browser.

Conversion

Supported range: −200 … 850 °C.
Resistance
— Ω

The number of decimals shown is not the accuracy of a measurement.

Related tools: 4–20 mA calculator → · Flow calculator → · Thermocouple K / J → · All tools →

The temperature in the system doesn't match reality?

The calculator checks the conversion. If the measurement still doesn't match, the cause is often the sensor, wiring, leads, input or transmitter settings — that is instrumentation, commissioning and troubleshooting work.

Pt100 and Pt1000

A Pt100 has 100 Ω at 0 °C, a Pt1000 has 1000 Ω. Both are platinum resistance thermometers (RTDs) with the standard IEC 60751 characteristic — the same curve, differing only in the nominal value R0.

Rounded examples: Pt100 — 0 °C = 100 Ω, 100 °C ≈ 138.5 Ω; Pt1000 — 0 °C = 1000 Ω, 100 °C ≈ 1385 Ω.

The higher resistance of a Pt1000 means the same lead resistance is a relatively smaller part of the measured value. It does not automatically remove lead-wire error.

The IEC 60751 model (Callendar–Van Dusen)

The exact mode uses the equations of the standard with the standard coefficients:

T ≥ 0 °C:  R(T) = R0 · (1 + A·T + B·T²)
T < 0 °C:  R(T) = R0 · [1 + A·T + B·T² + C·(T − 100)·T³]
A = 3.9083·10⁻³   B = −5.775·10⁻⁷   C = −4.183·10⁻¹²

Resistance to temperature is solved analytically above 0 °C and numerically below 0 °C (Newton's method safeguarded by bisection, bounded number of iterations).

Practical mode

The practical mode uses a table generated from the IEC 60751 model in 10 °C steps and interpolates linearly between points — much like working with a table in the field. Its difference from the IEC model is at most about 0.01 °C over the whole range (largest near −200 °C).

That is the difference between two calculations, not the accuracy of a measurement.

2-, 3- and 4-wire connection

Lead resistance affects an RTD measurement differently depending on the connection:

  • 2-wire: the lead resistance adds to the measured resistance,
  • 3-wire: with a suitable connection the measuring system can compensate the lead resistance,
  • 4-wire: the best suppression of lead effects for precise measurement.

This tool does not calculate lead-wire compensation.

What affects the real accuracy

The RTD calculation is only one part of the measuring chain. Real deviation can come from:

  • the sensor and its tolerance class (AA / A / B),
  • the cable and connection,
  • the measuring input or transmitter,
  • calibration,
  • the sensor's installation,
  • self-heating.

Note

The calculation uses the characteristic of a standard platinum RTD per IEC 60751. The result does not replace calibration, a tolerance analysis, lead-wire compensation, a check of the measuring input or an uncertainty assessment of the whole measuring chain.

The practical mode is an indicative service aid. The IEC mode is a mathematical model of the sensor characteristic. Neither says anything by itself about the real accuracy of a specific sensor in operation.

SKENDE