The image above represents resistance change of thermistor as a first order approximation. To calculate resistance change of thermistor as a first order approximation, three essential parameters are needed and these parameters are Value (K), Temperature of Thermistor (T)Â 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)
That is, 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 are 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;
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ΔR = Resistance Change in Thermistor as a First Order Approximation = 22
T = Temperature of Thermistor = 18
To = Ambient Temperature = 14
K = ΔR / (T – To)
Then, 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
So, 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 are 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
So, To = (18 / 10) + 6
To = 1.8 + 6
To = 7.8
Therefore, the ambient temperature is 7.8.
Read more:Â How to Calculate and Solve for Resistance of a Temperature Detector | Temperature Measuring Instruments
How to Calculate Resistance Change of Thermistor as a First Order Approximation Using Nickzom Calculator
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
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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 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)Â and Ambient Temperature (To).
Now, enter the values appropriately and accordingly for the parameters as required by the Value (K), Temperature of Thermistor (T)Â 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.
