Enter the measured resistance, temperature (°C), and beta value into the calculator—leaving one field empty—to determine the missing parameter.
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Ohms To Temperature Formula
The following equation is used to calculate the temperature from the measured resistance and beta value.
1/T = 1/T₀ + (1/β)·ln(R/R₀)
- Where T is the temperature in Kelvin (°C = T – 273.15)
- T₀ is the reference temperature (298.15 K, equivalent to 25°C)
- β is the beta value of the thermistor
- R is the measured resistance in ohms
- R₀ is the reference resistance (typically 10000 ohms)
To calculate the temperature, use the formula above to obtain T in Kelvin and then subtract 273.15 to convert to °C.
| Resistance (Ω) | Temperature (°C) |
|---|---|
| 330 | 128.4 |
| 470 | 114.4 |
| 680 | 100.9 |
| 1,000 | 87.7 |
| 1,500 | 74.7 |
| 2,000 | 66.2 |
| 3,000 | 54.9 |
| 4,700 | 43.1 |
| 6,800 | 34.0 |
| 10,000 | 25.0 |
| 15,000 | 16.2 |
| 20,000 | 10.3 |
| 30,000 | 2.2 |
| 47,000 | -6.1 |
| 68,000 | -12.7 |
| 100,000 | -19.1 |
| 150,000 | -25.6 |
| 200,000 | -30.1 |
| 270,000 | -34.4 |
| 330,000 | -37.3 |
| * Rounded to 1 decimal. Assumes 10 kΩ NTC thermistor: R0 = 10,000 Ω at 25°C (T0 = 298.15 K), β = 3950 K. Formula: 1/T = 1/T0 + (1/β)·ln(R/R0). | |
What is Ohms To Temperature?
Definition:
Ohms To Temperature refers to the process of determining a thermistor’s temperature based on its measured resistance in conjunction with its beta value and reference parameters. This method is widely used in electronic temperature sensing applications.
How to Calculate Ohms To Temperature?
Example Problem:
The following example outlines the steps required to calculate the temperature from a thermistor.
First, determine the measured resistance. In this example, the thermistor measured 15000 ohms.
Next, determine the beta value. Assume the beta value is 3950.
Finally, calculate the temperature using the formula above:
1/T = 1/298.15 + (1/3950) · ln(15000/10000)
1/T ≈ 0.0034567
T ≈ 289.0 K
Temperature ≈ 15.85°C
FAQ
What is the beta value in a thermistor?
The beta value is a parameter that describes the relationship between a thermistor’s resistance and its temperature. It is essential for converting resistance measurements into temperature values.
Why are reference values necessary for the calculation?
Reference values, such as a known resistance at a specific temperature, are used to calibrate the thermistor. They ensure accurate conversions from resistance to temperature.
Can this calculator be used for all types of thermistors?
This calculator is designed for NTC thermistors with a specified beta parameter. It may not be applicable to other temperature sensors without proper calibration and adjustments.