The total resistivity of metal is illustrated by the image below. To calculate total resistivity of metal, three essential parameters are needed and these parameters are Thermal Resistivity (ρt), Impurity Resistivity (ρi) and Deformation Resistivity (ρd).
The formula for calculating the total resistivity of metal:
ρtotal = ρt + ρi + ρd
Where:
ρtotal = Total Resistivity of Metal
ρt = Thermal Resistivity
Also, ρi = Impurity Resistivity
ρd = Deformation Resistivity
Let’s solve an example;
Find the total resistivity of metal when the thermal resistivity is 20, the impurity resistivity is 10 and the deformation resistivity is 2.
This implies that;
ρt = Thermal Resistivity = 20
ρi = Impurity Resistivity = 10
And then, ρd = Deformation Resistivity = 2
ρtotal = ρt + ρi + ρd
That is, ρtotal = 20 + 10 + 2
ρtotal = 32
Therefore, the total resistivity of metal is 32 Ω-m.
Calculating the Thermal Resistivity when the Total Resistivity of Metal, the Impurity Resistivity and the Deformation Resistivity are Given.
ρt = ρtotal – ρi – ρd
Where:
ρt = Thermal Resistivity
ρtotal = Total Resistivity of Metal
And then, ρi = Impurity Resistivity
ρd = Deformation Resistivity
Let’s solve an example;
Find the thermal resistivity when the total resistivity of metal is 40, the impurity resistivity is 10 and the deformation resistivity is 5.
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This implies that;
ρtotal = Total Resistivity of Metal = 40
ρi = Impurity Resistivity = 10
So, ρd = Deformation Resistivity = 5
ρt = ρtotal – ρi – ρd
That is, ρt = 40 – 10 – 5
ρt = 25
Therefore, the thermal resistivity is 25.
Read more: How to Calculate and Solve for Resistivity | Electric Resistivity
Calculating the Impurity Resistivity when the Total Resistivity of Metal, the Thermal Resistivity and the Deformation Resistivity are Given
ρi = ρtotal – ρt – ρd
Where:
ρi = Impurity Resistivity
ρtotal = Total Resistivity of Metal
Also, ρt = Thermal Resistivity
ρd = Deformation Resistivity
Let’s solve an example;
Find the impurity resistivity when the total resistivity of metal is 28, the thermal resistivity is 12 and the deformation resistivity is 2.
This implies that;
ρtotal = Total Resistivity of Metal = 28
And then, ρt = Thermal Resistivity = 12
ρd = Deformation Resistivity = 2
ρi = ρtotal – ρt – ρd
That is, ρi = 28 – 12 – 2
ρi = 14
Therefore, the impurity resistivity is 14.
Read more: How to Calculate and Solve for Impurity Resistivity for Two phase Impurities | Electrical Properties
Calculating the Deformation Resistivity when the Total Resistivity of Metal, the Thermal Resistivity and the Impurity Resistivity are Given
ρd = ρtotal – ρt – ρi
Where:
ρd = Deformation Resistivity
ρtotal = Total Resistivity of Metal
Also, ρt = Thermal Resistivity
ρi = Impurity Resistivity
Let’s solve an example;
Find the deformation resistivity when the total resistivity of metal is 52, the thermal resistivity is 24 and the impurity resistivity is 10.
This implies that;
ρtotal = Total Resistivity of Metal = 52
ρt = Thermal Resistivity = 24
And then, ρi = Impurity Resistivity = 10
ρd = ρtotal – ρt – ρi
That is, ρd = 52 – 24 – 10
ρd = 18
Therefore, the deformation resistivity is 18.
How to Calculate Total Resistivity of Metal Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the total resistivity of metal.
To get the answer and workings of the total resistivity of metal 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 Total Resistivity of Metal under Electrical Properities
The screenshot below displays the page or activity to enter your values, to get the answer for the total resistivity of metal according to the respective parameter which is the Thermal Resistivity (ρt), Impurity Resistivity (ρi) and Deformation Resistivity (ρd).
Now, enter the values appropriately and accordingly for the parameters as required by the Thermal Resistivity (ρt) is 20, Impurity Resistivity (ρi) is 10 and Deformation Resistivity (ρd) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the total resistivity of metal and presents the formula, workings and steps too.
