How to Calculate and Solve for Total Resistivity of Metal | Electrical Properties
Last Updated on August 9, 2022
The total resistivity of metal is illustrated by the image below.
To compute for 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
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
ρd = Deformation Resistivity = 2
ρtotal = ρt + ρi + ρd
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 is Given.
ρt = ρtotal – ρi – ρd
Where:
ρt = Thermal Resistivity
ρtotal = Total Resistivity of Metal
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.
This implies that;
ρtotal = Total Resistivity of Metal = 40
ρi = Impurity Resistivity = 10
ρd = Deformation Resistivity = 5
ρt = ρtotal – ρi – ρd
ρt = 40 – 10 – 5
ρt = 25
Therefore, the thermal resistivity is 25.
Calculating the Impurity Resistivity when the Total Resistivity of Metal, the Thermal Resistivity and the Deformation Resistivity is Given.
ρi = ρtotal – ρt – ρd
Where:
ρi = Impurity Resistivity
ρtotal = Total Resistivity of Metal
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
ρt = Thermal Resistivity = 12
ρd = Deformation Resistivity = 2
ρi = ρtotal – ρt – ρd
ρi = 28 – 12 – 2
ρi = 14
Therefore, the impurity resistivity is 14.
Calculating the Deformation Resistivity when the Total Resistivity of Metal, the Thermal Resistivity and the Impurity Resistivity is Given.
ρd = ρtotal – ρt – ρi
Where:
ρd = Deformation Resistivity
ρtotal = Total Resistivity of Metal
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
ρi = Impurity Resistivity = 10
ρd = ρtotal – ρt – ρi
ρd = 52 – 24 – 10
ρd = 18
Therefore, the deformation resistivity is 18.
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.
