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Omnikalc

PT100 / PT1000 RTD calculator

Convert a platinum RTD's resistance into temperature or back with the IEC 60751 Callendar–Van Dusen equation, with sensitivity and class A and B tolerances.

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Ω

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°C

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Results

Temperature

100.01 °C

Sensor resistance

138.510 Ω

Temperature in °F
212.0 °F
Sensitivity (slope)
0.3793 Ω/°C
Class A tolerance ±(0.15 + 0.002|t|)
0.35 °C
Class B tolerance ±(0.3 + 0.005|t|)
0.80 °C

What a PT100 is

A PT100 is a platinum resistance temperature detector (RTD) with a resistance of exactly 100 Ω at 0 °C. A PT1000 has 1,000 Ω at 0 °C. Platinum’s resistance rises very regularly with temperature, so these sensors are the standard for accurate industrial, laboratory and HVAC measurement from about −200 to 850 °C.

The Callendar–Van Dusen equation

IEC 60751 defines the resistance for 0 °C and above as:

R(t) = R0 × (1 + A × t + B × t²)

with A = 3.9083 × 10⁻³ and B = −5.775 × 10⁻⁷. Below 0 °C an extra term, C × (t − 100) × t³ with C = −4.183 × 10⁻¹², is added. The calculator solves the quadratic for temperature; below 0 °C it ignores the C term, which shifts the result by less than about 0.2 °C down to −100 °C.

Example

A PT100 that reads 138.51 Ω is at 100 °C. At 25 °C, a PT100 reads 109.73 Ω and a PT1000 1,097.3 Ω.

The average slope between 0 and 100 °C is 0.385 Ω/°C for a PT100. That is the “alpha” of 0.00385 printed on many sensors.

Tolerance classes

Class Tolerance At 100 °C
AA ±(0.1 + 0.0017 t) ±0.27 °C
A ±(0.15 + 0.002 t) ±0.35 °C
B ±(0.3 + 0.005 t) ±0.80 °C

Here t is the temperature in °C, taken as a positive number. Class B is the most common and cheapest. Class A and AA suit calibration and laboratory work.

Wiring: 2, 3 or 4 wires

The lead wires add resistance. With a PT100, 0.385 Ω of lead resistance already means a 1 °C error.

  • 2-wire: the leads are measured with the sensor. Only for short runs or PT1000 sensors.
  • 3-wire: the most common in industry; the instrument cancels the lead resistance if the wires are equal.
  • 4-wire: the most accurate, separating the current and measuring pairs.

PT1000 sensors are ten times less sensitive to lead resistance, which is why they are popular in heating controls and battery-powered loggers.

Tips

  • Keep the measuring current low, around 1 mA for a PT100, to avoid self-heating.
  • Check the sensor’s alpha: a few older or non-European sensors use 0.00392 instead of 0.00385.
  • Response time depends on the probe sheath. Thin-film elements in a thin sheath react in seconds, heavy thermowells in minutes.

Frequently asked questions

What is the resistance of a PT100 at 0 °C?

Exactly 100 Ω. A PT1000 is 1,000 Ω.

What is a PT100 at 100 °C?

About 138.51 Ω.

How much does a PT100 change per degree?

About 0.385 Ω per °C on average between 0 and 100 °C.

Why use a 3-wire or 4-wire PT100?

To cancel the resistance of the lead wires, which would otherwise read as extra temperature.

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Results are estimates provided for information purposes. They do not replace professional advice.