How to Calculate and Solve for Relationship between Thermal Resistivity and Temperature | Electrical Properties

The relationship between thermal resistivity and temperature is illustrated in the image below. To calculate 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 the 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)
That is, 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 are 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;

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ρt = Thermal Resistivity = 32
a = Constant of the Metal = 2
T = Temperature = 4

ρo = ρt – aT
So, ρo = 32 – 2(4)
ρo = 32 – 8
ρo = 24

Therefore, the constant of the metal is 24.

Read more: How to Calculate and Solve for Total Resistivity of Metal | Electrical Properties

Calculating the Temperature when the Relationship between Thermal Resistivity and Temperature, the Constant of the Metal and the Constant of the Metal are 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
So, T = 22 / 11
T = 2

Therefore, the temperature is 2.

How to Calculate the Relationship between Thermal Resistivity and Temperature Using Nickzom Calculator

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).

How to Calculate and Solve for Relationship between Thermal Resistivity and Temperature | Electrical Properties

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 (ρois 8 and Temperature (T) is 2.

How to Calculate and Solve for Relationship between Thermal Resistivity and Temperature | Electrical Properties

Finally, Click on Calculate

How to Calculate and Solve for Relationship between Thermal Resistivity and Temperature | Electrical Properties

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.

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