The impurity resistivity is illustrated by the image below. To calculate impurity resistivity, two essential parameters are needed and these parameters are Impurity Concentration (Ci) and Composition Independent Constant (A).
The formula for calculating impurity resistivity:
ρi = ACi(1 – Ci)
Where:
ρi = Impurity Resistivity
Ci = Impurity Concentration
A = Composition Independent Constant
Given an example;
Find the impurity resistivity when the impurity concentration is 35 and the composition independent constant is 7.
This implies that;
Ci = Impurity Concentration = 35
A = Composition Independent Constant = 7
ρi = ACi(1 – Ci)
That is, ρi = 7(35)(1 – 35)
ρi = (245)(-34)
ρi = -8330
Therefore, the impurity resistivity is -8330 Ωm.
Calculating the Impurity Concentration when the Impurity Resistivity and the Composition Independent Constant are Given
Ci = 1 + ρi / A
Where:
Ci = Impurity Concentration
ρi = Impurity Resistivity
A = Composition Independent Constant
Let’s solve an example;
Find the impurity concentration when the impurity resistivity is 20 and the composition independent constant is 10.
This implies that;
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ρi = Impurity Resistivity = 20
A = Composition Independent Constant = 10
Ci = 1 + ρi / A
Then, Ci = 1 + 20 / 10
Ci = 1 + 10
Ci = 11
Therefore, the impurity concentration is 11.
Read more: How to Calculate and Solve for Impurity Resistivity for Two phase Impurities | Electrical Properties
Calculating the Composition Independent Constant when the Impurity Resistivity and the Impurity Concentration are Given
A = ρi / 1 – Ci
Where:
A = Composition Independent Constant
ρi = Impurity Resistivity
Ci = Impurity Concentration
Let’s solve an example;
Find the composition independent constant when the impurity resistivity is 40 and the impurity concentration is 11.
This implies that;
ρi = Impurity Resistivity = 40
Ci = Impurity Concentration = 11
A = ρi / 1 – Ci
A = 40 / 1 – 11
So, A = 40 / -10
A = – 4
Therefore, the composition independent constant is – 4.
Read more: How to Calculate and Solve for Total Resistivity of Metal | Electrical Properties
How to Calculate Impurity Resistivity Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the impurity resistivity.
To get the answer and workings of the impurity resistivity 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 Impurity Resistivity under Electrical Properities
The screenshot below displays the page or activity to enter your values, to get the answer for the impurity resistivity according to the respective parameter which is the Impurity Concentration (Ci) and Composition Independent Constant (A).
Now, enter the values appropriately and accordingly for the parameters as required by the Impurity Concentration (Ci) is 35 and Composition Independent Constant (A) is 7.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the impurity resistivity and presents the formula, workings and steps too.
