How to Calculate and Solve for Electron Mobility | Electrical Properties
Last Updated on August 10, 2022
The electron mobility is illustrated by the image below.
To compute for electron mobility, three essential parameters are needed and these parameters are Electrical Conductivity (σ), Number of Free Conductivity Electrons (n) and Electrical Charge (e).
The formula for calculating electron mobility:
μe = σ/n|e|
Where:
σ = Electron Mobility
σ = Electrical Conductivity
n = Number of Free Conductivity Electrons
e = Electrical Charge
Let’s solve an example;
Find the electron mobility when the electrical conductivity is 28, the number of free conductivity electrons is 7 and the electrical charge is 2.
This implies that;
σ = Electrical Conductivity = 28
n = Number of Free Conductivity Electrons = 7
e = Electrical Charge = 2
μe = σ/n|e|
μe = 28/7|2|
μe = 28/7(2)
μe = 28/14
μe = 2
Therefore, the electron mobility is 2 m²/(V.s).
Calculating the Number of Free Conductivity Electrons when the Electron Mobility, the Electrical Conductivity and the Electrical Charge is Given.
n = σ / σ x e
Where:
n = Number of Free Conductivity Electrons
σ = Electron Mobility
σ = Electrical Conductivity
e = Electrical Charge
Let’s solve an example;
Find the number of free conductivity electrons when the electron mobility is 10, the electrical conductivity is 60 and the electrical charge is 3.
This implies that;
σ = Electron Mobility = 10
σ = Electrical Conductivity = 60
e = Electrical Charge = 3
n = σ / σ x e
n = 60 / 10 x 3
n = 60 / 30
n = 20
Therefore, the number of free conductivity electrons is 20.
Calculating the Electrical Charge when the Electron Mobility, the Electrical Conductivity and the Number of Free Conductivity Electrons is Given.
e = σ / σ x n
Where:
e = Electrical Charge
σ = Electron Mobility
σ = Electrical Conductivity
n = Number of Free Conductivity Electrons
Let’s solve an example;
Find the electrical charge when the electron mobility is 5, the electrical conductivity is 50 and the number of free conductivity electrons is 5.
This implies that;
σ = Electron Mobility = 5
σ = Electrical Conductivity = 50
n = Number of Free Conductivity Electrons = 5
e = σ / σ x n
e = 50 / 5 x 5
e = 50 / 25
e = 2
Therefore, the electrical charge is 2.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the electron mobility.
To get the answer and workings of the electron mobility 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
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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 Electron Mobility under Electrical Properities
The screenshot below displays the page or activity to enter your values, to get the answer for the electron mobility according to the respective parameter which is the Electrical Conductivity (σ), Number of Free Conductivity Electrons (n) and Electrical Charge (e).
Now, enter the values appropriately and accordingly for the parameters as required by the Electrical Conductivity (σ) is 28, Number of Free Conductivity Electrons (n) is 7 and Electrical Charge (e) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the electron mobility and presents the formula, workings and steps too.