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Temperature Measurement · Free Calculator

NTC Thermistor Calculator

Convert NTC thermistor resistance to temperature and back using the Beta model or the more accurate Steinhart–Hart equation, and calculate Steinhart–Hart coefficients from three calibration points.

Beta modelSteinhart–HartCoefficient finderR ↔ °C

Type in either box; the other updates instantly.

Resistance2.4862 kΩ
Temperature60.000 °C
Temperature coefficient

Resistance vs temperature for these values

TemperatureResistance
−40 °C401.8597 kΩ
−30 °C200.2039 kΩ
−20 °C105.3847 kΩ
−10 °C58.2457 kΩ
0 °C33.6206 kΩ
10 °C20.1746 kΩ
20 °C12.5353 kΩ
30 °C8.0371 kΩ
40 °C5.3015 kΩ
50 °C3.5882 kΩ
60 °C2.4862 kΩ
70 °C1.7598 kΩ
80 °C1.2703 kΩ
90 °C933.577 Ω
100 °C697.520 Ω
110 °C529.140 Ω
120 °C407.089 Ω
130 °C317.290 Ω
140 °C250.302 Ω
150 °C199.682 Ω
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NTC Thermistor Equations

Beta model

The Beta (β) model is the simplest and is what most datasheets quote, for example "10 kΩ, B25/85 = 3950 K".

R = R0 × exp(β × (1/T − 1/T0))
1/T = 1/T0 + ln(R/R0) ÷ β

T and T0 are in kelvin (°C + 273.15). The Beta model is typically accurate to about ±0.5 °C over a 50 °C span around T0, but error grows further away.

Steinhart–Hart equation

1/T = A + B·ln(R) + C·(ln R)³

With coefficients fitted from three points, Steinhart–Hart is usually accurate to better than ±0.02 °C across a range of 100 °C or more, which is why precision instruments use it.

Worked example

A 10 kΩ NTC with β = 3950 K at T0 = 25 °C. At 60 °C: R = 10000 × exp(3950 × (1/333.15 − 1/298.15)) = 2486.2 Ω.

Key insight: NTC thermistors change about 4 to 5 % per °C near room temperature, roughly ten times more than a Pt100. That makes them very sensitive but strongly non linear, so always use an equation rather than a straight line.
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Frequently Asked Questions

What does 10K 3950 mean on a thermistor?

It means the resistance is 10 kΩ at 25 °C and the Beta constant is 3950 K. Enter these values in the Beta model tab to get the full resistance curve.

Should I use the Beta or Steinhart–Hart equation?

Use Beta for quick estimates or narrow ranges. Use Steinhart–Hart when you need accuracy over a wide range or when the datasheet gives a resistance table rather than a single Beta.

How do I find Steinhart–Hart coefficients?

Take three resistance values at known temperatures, usually from the manufacturer’s table, and enter them in the Find coefficients tab. The calculator solves for A, B and C.

Why does my thermistor read high temperature when it is cold?

NTC means negative temperature coefficient: resistance goes up as temperature goes down. If the reading moves the wrong way, the input is probably configured for a PTC or RTD.

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