How to Calculate and Solve for Impurity Resistivity for Two phase Impurities | Electrical Properties
Last Updated on August 10, 2022
The image of impurity resistivity for two phase impurities is shown below.
To compute for impurity resistivity for two phase impurities, four essential parameters are needed and these parameters are Resistivity of Phase α (ρα), Resistivity of Phase β (ρβ), Volume Fraction of Phase α (Vα) and Volume Fraction of Phase β (Vβ).
The formula for calculating impurity resistivity for two pahse impurities:
ρi = ραVα + ρβVβ
Where:
ρi = Impurity Resistivity for Two Phase Impurities
ρα = Resistivity of Phase α
ρβ = Resistivity of Phase β
Vα = Volume Fraction of Phase α
Vβ = Volume Fraction of Phase β
Let’s solve an example;
Find the impurity resistivity for two phase impurities when the resistivity of phase α is 8, the resistivity of phase β is 6, the volume fraction of phase α is 4 and the volume fraction of phase β is 2.
This implies that;
ρα = Resistivity of Phase α = 8
ρβ = Resistivity of Phase β = 6
Vα = Volume Fraction of Phase α = 4
Vβ = Volume Fraction of Phase β = 2
ρi = ραVα + ρβVβ
ρi = (8)(4) + (6)(2)
ρi = (32) + (12)
ρi = 44
Therefore, the impurity resistivity for two phase impurities is 44 Ωm.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the impurity resistivity for two phase impurities.
To get the answer and workings of the impurity resistivity for two phase impurities 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
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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 Impurity Resistivity for Two Phase Impurities under Electrical Properities
The screenshot below displays the page or activity to enter your values, to get the answer for the impurity resistivity for two phase impurities according to the respective parameter which is the Resistivity of Phase α (ρα), Resistivity of Phase β (ρβ), Volume Fraction of Phase α (Vα) and Volume Fraction of Phase β (Vβ).
Now, enter the values appropriately and accordingly for the parameters as required by the Resistivity of Phase α (ρα) is 8, Resistivity of Phase β (ρβ) is 6, Volume Fraction of Phase α (Vα) is 4 and Volume Fraction of Phase β (Vβ) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the impurity resistivity for two phase impurities and presents the formula, workings and steps too.
