ntc thermistor calculator

NTC Thermistor Beta Calculator

Calculate temperature from resistance, resistance from temperature, or convert an ADC reading from a voltage divider into thermistor temperature.

Enter values and click Calculate.

ADC Divider to Temperature

Useful when your thermistor is read by a microcontroller ADC.

Enter ADC values and click Convert.

What this NTC thermistor calculator does

An NTC thermistor (Negative Temperature Coefficient thermistor) decreases in resistance as temperature rises. This page gives you a practical calculator for everyday design work: sensor calibration, firmware conversion checks, and quick bench calculations.

Instead of manually solving logarithmic equations every time, you can calculate instantly in three common workflows:

  • Resistance → Temperature for measured ohms from a multimeter.
  • Temperature → Resistance when selecting resistor values or simulating behavior.
  • ADC Reading → Temperature for embedded systems using voltage dividers.

Core equations used

Beta model (single-parameter approximation)

This calculator uses the standard Beta equation, which is accurate enough for many control and monitoring applications in a moderate temperature range.

1/T = 1/T₀ + (1/B) × ln(R/R₀)

R = R₀ × e^(B × (1/T − 1/T₀))

Where:

  • T, T₀ are in Kelvin.
  • R is thermistor resistance at temperature T.
  • R₀ is nominal resistance at reference temperature T₀ (often 10k at 25°C).
  • B is the thermistor Beta constant in Kelvin.

How to use it correctly

1) Set your thermistor parameters

Enter R₀, T₀, and B from the datasheet. Common values are R₀ = 10,000 ohms, T₀ = 25°C, and B around 3435 to 3950 K.

2) Choose mode

  • Temperature from measured resistance: best for calibration and troubleshooting.
  • Resistance from target temperature: useful for divider design and lookup tables.

3) For microcontrollers, use the ADC section

Pick the divider orientation matching your schematic, enter the fixed resistor and ADC counts, and the calculator will estimate thermistor resistance, then convert that to temperature.

Design tips for better real-world accuracy

  • Match the fixed resistor to R₀: best sensitivity often occurs near midpoint when the fixed resistor is close to thermistor resistance at your target temperature range.
  • Avoid self-heating: excessive current warms the thermistor and skews readings.
  • Check tolerance: R₀ and B tolerances can create several degrees of error if uncalibrated.
  • Use averaging/filtering: ADC noise can cause jitter in computed temperature.
  • Calibrate if needed: a one-point or two-point calibration improves system-level accuracy.

When to use Steinhart-Hart instead

The Beta model is simple and fast, but if you need higher accuracy over a very wide range (for example, -40°C to 125°C), the 3-coefficient Steinhart-Hart equation is usually better. If your datasheet provides A/B/C coefficients, that method can reduce curve-fit error significantly.

Common mistakes to avoid

  • Using Celsius directly inside the logarithmic equation (must convert to Kelvin first).
  • Mixing up divider orientation and applying the wrong resistance formula.
  • Entering kilo-ohms in an ohms field (e.g., typing 10 instead of 10000).
  • Ignoring ADC endpoint behavior at counts near 0 or max, where equations can blow up.

Quick sanity check values (10k, B=3950)

For a typical 10k NTC with B=3950, resistance is around 10k at 25°C, higher at low temperature, and lower at high temperature. If your measurements move in the opposite direction, check wiring and ADC conversion logic.

Final thoughts

This NTC thermistor calculator is intended to be practical and engineering-focused: simple inputs, immediate results, and formulas aligned with common firmware and hardware workflows. Use it to prototype quickly, then validate with real sensor data and calibration points for production-quality performance.

🔗 Related Calculators