# Steinhart-Hart Approximations for Thermistor

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This Demonstration considers a full set of measurements of a negative temperature coefficient thermistor and lets you select the approximation method and the data points to be used for a corresponding version of the Steinhart–Hart approximation. The computed Steinhart–Hart coefficients are displayed along with a plot of the difference between the measured and approximated values (the temperature error).

Contributed by: Kirby Goulet (August 2022)
Open content licensed under CC BY-NC-SA

## Details

Specification of a negative temperature coefficient thermistor is commonly expressed in terms of the coefficients in a Steinhart–Hart approximation. There are three common sets of coefficients: the beta coefficient that is computed from two measurement data points at two specified temperatures, the three-coefficient approximation that requires three measured data points and the four-coefficient approximation that requires four data points for curve fitting.

Two coefficients (beta constant):

Three coefficients (Steinhart–Hart equation):

Four coefficients (Steinhart–Hart equation):

, , and are Steinhart–Hart coefficients and is a constant commonly specified for thermistors. The coefficients for fitting the four-coefficient equation are not necessarily the same as those for fitting the three-coefficient equation.

is the thermistor resistance in ohms at temperature .

is the thermistor temperature in degrees Kelvin.

is a reference temperature used for one of the measured data points used to calculate the constant. Commonly, this is 25 °C.

is the thermistor resistance at the reference temperature .

The measured data [1] is taken from the manufacturer's data for the model TDK part number NTCG063JF103FTDS.

Reference

[1] "NTCG063JF103FTDS." TDK Product Center. (Aug 6, 2021) product.tdk.com/en/search/sensor/ntc/chip-ntc-thermistor/info?part_no=NTCG063JF103FTDS.

## Permanent Citation

Kirby Goulet

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