How to Calculate and Solve for Relationship between Thermal Resistivity and Temperature | Electrical Properties
Last Updated on August 9, 2022
The relationship betweeen thermal resistivity and temperature is illustrated by the image below.
To compute for the relationship between thermal resistivity and temperature, three essential parameters are needed and these parameters are Constant of the Metal (a), Constant of the Metal (ρo) and Temperature (T).
The formula for calculating relationship between thermal resistivity and temperature:
ρt = ρo + aT
Where:
ρt = Thermal Resistivity
ρo = Constant of the Metal
a = Constant of the Metal
T = Temperature
Let’s solve an example;
Find the relationship between thermal resistivity and temperature when the constant of the metal is 32, the constant of the metal is 8 and the temperature is 2.
This implies that;
ρo = Constant of the Metal = 32
a = Constant of the Metal = 8
T = Temperature = 2
ρt = ρo + aT
ρt = 32 + (8)(2)
ρt = 32 + (16)
ρt = 48
Therefore, the relationship between thermal resistivity and temperature is 48 Ωm.
Calculating the Constant of the Metal when the Relationship between Thermal Resistivity and Temperature, the Constant of the Metal and the Temperature is Given.
ρo = ρt – aT
Where:
ρo = Constant of the Metal
ρt = Thermal Resistivity
a = Constant of the Metal
T = Temperature
Let’s solve an example;
Find the constant of the metal when the thermal resistivity is 32, the constant of the metal is 2 and the temperature is 4.
This implies that;
ρt = Thermal Resistivity = 32
a = Constant of the Metal = 2
T = Temperature = 4
ρo = ρt – aT
ρo = 32 – 2(4)
ρo = 32 – 8
ρo = 24
Therefore, the constant of the metal is 24.
Calculating the Temperature when the Relationship between Thermal Resistivity and Temperature, the Constant of the Metal and the Constant of the Metal is Given.
T = ρt – ρo / a
Where:
T = Temperature
ρt = Thermal Resistivity
ρo = Constant of the Metal
a = Constant of the Metal
Let’s solve an example;
Find the temperature when the thermal resistivity is 42, the constant of the metal is 20 and the constant of the metal is 11.
This implies that;
ρt = Thermal Resistivity = 42
ρo = Constant of the Metal = 20
a = Constant of the Metal = 11
T = ρt – ρo / a
T = 42 – 20 / 11
T = 22 / 11
T = 2
Therefore, the temperature is 2.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the relationship between thermal resistivity and temperature.
To get the answer and workings of the relationship between thermal resistivity and 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 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 Electrical Properities under Materials and Metallurgical
Now, Click on Relationship between Thermal Resistivity and Temperature under Electrical Properities
The screenshot below displays the page or activity to enter your values, to get the answer for the relationship between thermal resistivity and temperature according to the respective parameter which is the Constant of the Metal (a), Constant of the Metal (ρo) and Temperature (T).
Now, enter the values appropriately and accordingly for the parameters as required by the Constant of the Metal (a) is 32, Constant of the Metal (ρo) is 8 and Temperature (T) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the relationship between thermal resistivity and temperature and presents the formula, workings and steps too.
