How to Calculate and Solve for Relationship between Resistance and Thermistor Temperature | Temperature Measuring Instruments

The image above represents the relationship between resistance and thermistor temperature.

To compute for relationship between resistance and thermistor temperature, four essential parameters are needed and these parameters are Reference Resistance (Ro), Temperature Parameter (β), Temperature of Thermistor (T) and Ambient Temperature (To).

The formula for calculating relationship between resistance and thermistor temperature:

R = Ro eβ(1 / T – 1 / To)

Where:

R = Resistance
Ro = Reference Resistance
β = Temperature Parameter
T = Temperature of Thermistor
To = Ambient Temperature

Let’s solve an example;
Find the resistance when the reference resistance is 21, the temperature parameter is 10, the temperature of thermistor is 14 and the ambient temperature is 8.

This implies that’

Ro = Reference Resistance = 21
β = Temperature Parameter = 10
T = Temperature of Thermistor = 14
To = Ambient Temperature = 8

R = Ro eβ(1 / T – 1 / To)
R = 21 x e10 x (1 / 14 – 1 / 21)
R = 21 x e10 x (0.071 – 0.125)
R = 21 x e10 x -0.0535
R = 21 x e-0.535
R = 21 x 0.585
R = 12.29

Therefore, the relationship between resistance and thermistor temperature is 12.29 Ω.

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