How to Calculate and Solve for Resistance Change of Thermistor as a First Order Approximation | Temperature Measuring Instruments

The image above represents resistance change of thermistor as a first order approximation.

To compute for resistance change of thermistor as a first order approximation, three essential parameters are needed and these parameters are Value (K), Temperature of Thermistor (T) and Ambient Temperature (To).

The formula for calculating resistance change of thermistor as a first order approximation:

ΔR = k(T – To)

Where:

ΔR = Resistance Change in Thermistor as a First Order Approximation
K = Value
T = Temperature of Thermistor
To = Ambient Temperature

Let’s solve an example;
Find the resistance change in thermistor as a first order approximation when the value is 22, the temperature of thermistor is 16 and the ambient temperature is 11.

This implies that;

K = Value = 22
T = Temperature of Thermistor = 16
To = Ambient Temperature = 11

ΔR = k(T – To)
ΔR = 22 x (16 – 11)
ΔR = 22 x 5
ΔR = 110

Therefore, the resistance change of thermistor as a first order approximation is 110 Ω.

Calculating for the Value when the Resistance Change of Thermistor as a First Order Approximation, the Temperature of Thermistor and the Ambient Temperature is Given.

K = ΔR / (T – To)

Where;

K = Value
ΔR = Resistance Change in Thermistor as a First Order Approximation
T = Temperature of Thermistor
To = Ambient Temperature

Let’s solve an example;
Find the value when the resistance change in thermistor as a first order approximation is 22, the temperature of thermistor is 18 and the ambient temperature is 14.

This implies that;

ΔR = Resistance Change in Thermistor as a First Order Approximation = 22
T = Temperature of Thermistor = 18
To = Ambient Temperature = 14

K = ΔR / (T – To)
K = 22 / (18 – 14)
K = 22 / 4
K = 5.5

Therefore, the value is 5.5.

Calculating for Temperature of Thermistor when the Resistance Change of Thermistor as a First Order Approximation, the Value and the Ambient Temperature is Given.

T = (ΔR / K) + To

Where;

T = Temperature of Thermistor
ΔR = Resistance Change in Thermistor as a First Order Approximation
K = Value
To = Ambient Temperature

Let’s solve an example;
Find the temperature of thermistor when the resistance change in thermistor as a first order approximation is 10, the value is 4 and the ambient temperature is 8.

This implies that;

ΔR = Resistance Change in Thermistor as a First Order Approximation = 10
K = Value = 4
To = Ambient Temperature = 8

T = (ΔR / K) + To
T = (10 / 4) + 8
T = 2.5 + 8
T = 10.5

Therefore, the temperature of thermistor is 10.5.

Calculating for Ambient Temperature when the Resistance Change of Thermistor as a First Order Approximation, the Value and the Temperature of Thermistor is Given.

To = (ΔR / K) + T

Where;

To = Ambient Temperature
ΔR = Resistance Change in Thermistor as a First Order Approximation
K = Value
T = Temperature of Thermistor

Let’s solve an example;
Find the ambient temperature when the resistance change in thermistor as a first order approximation is 18, the value is 10 and the temperature of thermistor is 6.

This implies that;

ΔR = Resistance Change in Thermistor as a First Order Approximation = 18
K = Value = 10
T = Temperature of Thermistor = 6

To = (ΔR / K) + T
To = (18 / 10) + 6
To = 1.8 + 6
To = 7.8

Therefore, the ambient temperature is 7.8.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the resistance change of thermistor as a first order approximation.

To get the answer and workings of the resistance change of thermistor as a first order approximation 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

Now, Click on Temperature Measuring Instruments under Instrumentation

Now, Click on Resistance Change of Thermistor as a First Order Approximation under Temperature of Measuring Instruments

The screenshot below displays the page or activity to enter your values, to get the answer for the resistance change of thermistor as a first order approximation according to the respective parameters which is the Value (K), Temperature of Thermistor (T) and Ambient Temperature (To).

Now, enter the values appropriately and accordingly for the parameters as required by the Value (K), Temperature of Thermistor (T) and Ambient Temperature (To).

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the resistance change of thermistor as a first order approximation and presents the formula, workings and steps too.

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