Thermistor Calculator
A 10 kΩ NTC thermistor with B = 3950 K reads about 33.6206 kΩ at 0 °C, from the beta equation.
33.6206037214357 kΩ
Full answer, then cut to fewer decimals (not rounded):
- 33.6206037214357 kΩ
- 33.620603721435 kΩ
- 33.62060372143 kΩ
- 33.6206037214 kΩ
- 33.620603721 kΩ
- 33.62060372 kΩ
- 33.6206037 kΩ
- 33.620603 kΩ
- 33.62060 kΩ
- 33.6206 kΩ
- 33.620 kΩ
- 33.62 kΩ
- 33.6 kΩ
- In ohms
- 33620.60372 Ω
- Temperature coefficient −B/T²
- -5.29413103 %/K
Step-by-step solution
- R = R₀ exp[B(1/T − 1/T₀)], T in kelvin
- R = 10000 × exp[3950 × (1/273.15 − 1/298.15)]
- R = 33620.60372 Ω
Thermistor Formula
R = R₀ exp[B(1/T − 1/T₀)]
T in kelvin; inverse 1/T = 1/T₀ + ln(R/R₀)/B
Worked Example
A 10 kΩ (at 25 °C) NTC thermistor with B = 3950 K at 0 °C:
- R = R₀ exp[B(1/T − 1/T₀)], T in kelvin
- R = 10000 × exp[3950 × (1/273.15 − 1/298.15)]
- R = 33620.60372 Ω
Temperature coefficient −B/T²: -5.29413103 %/K
GATE tip
Thermistors are very non-linear but very sensitive; RTDs are nearly linear and stable; thermocouples need no excitation and reach high temperatures. Matching sensor to requirement is a common conceptual question.
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Frequently asked questions
How accurate is the beta model?
Within about ±0.5 °C over 0–50 °C for most parts; over wider ranges use the Steinhart–Hart equation with three coefficients.
Why is the temperature coefficient negative?
In NTC thermistors, more carriers are freed as temperature rises, lowering resistance by roughly 4 % per kelvin near room temperature.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
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APA
Scientific Converters. (2026, October 15). Thermistor Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/thermistor-calculator/
IEEE
Scientific Converters, "Thermistor Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/thermistor-calculator/