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 calculate the 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 the relationship between resistance and thermistor temperature:

R = R_o e^{β(1 / _T – 1 / _To)}

Where:

R = Resistance
R_o = Reference Resistance
β = Temperature Parameter
T = Temperature of Thermistor
T_o = Ambient Temperature

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

This implies that:

R_o = Reference Resistance = 21
β = Temperature Parameter = 10
T = Temperature of Thermistor = 14
T_o = Ambient Temperature = 8

R = R_o e^{β(1 / _T – 1 / _To)}
That is, R = 21 x e^{10 x (1 / ₁₄ – 1 / ₂₁)}
R = 21 x e^{10 x (0.071 – 0.125)}
R = 21 x e^{10 x -0.0535}
Then, 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.

Read more: How to Calculate and Solve for Resistance of a Temperature Detector | Temperature Measuring Instruments

How to Calculate Relationship between Resistance and Thermistor Temperature With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the relationship between resistance and thermistor temperature.

To get the answer and workings of the relationship between resistance and thermistor temperature using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on instrumentation under Materials and Metallurgical

So, Click on Temperature Measuring Instruments under Instrumentation

Now, Click on Relationship between Resistance and Thermistor Temperature under Temperature of Measuring Instruments

The screenshot below displays the page or activity to enter your values, to get the answer for the relationship between resistance and thermistor temperature according to the respective parameters which is the Reference Resistance (R_o), Temperature Parameter (β), Temperature of Thermistor (T) and Ambient Temperature (T_o).

Now, enter the values appropriately and accordingly for the parameters as required by the Reference Resistance (R_o) is 21, Temperature Parameter (β) is 10, Temperature of Thermistor (T) is 14 and Ambient Temperature (T_o) is 8.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves the relationship between resistance and thermistor temperature and presents the formula, workings, and steps, too.