Engineering

How to Calculate and Solve for Electrical Conductivity for Extrinsic n-type Semiconductor | Electrical Properties

Last Updated on August 11, 2022

The image of electrical conductivity for extrinsic n-type semiconductor is shown below.

To compute for electrical conductivity for extrinsic n-type semiconductor, three essential parameters are needed and these parameters are Number of Free Conducting Electrons (n), Electron Mobility (μe) and Electrical Charge (e).

The formula for calculating the electrical conductivity for extrinsic n-type semiconductor:

σ ≅ n|e|μe

Where:

σ = Electrical Conductivity for Extrinsic n-type Semiconductor
n = Number of Free Conducting Electrons
μe = Electron Mobility
e = Electrical Charge

Let’s solve an example;
Find the electrical conductivity for extrinsic n-type semiconductor when the number of free conducting electrons is 12, the electron mobility is 6 and the electrical charge is 4.

This implies that;

n = Number of Free Conducting Electrons = 12
μe = Electron Mobility = 6
e = Electrical Charge = 4

σ ≅ n|e|μe
σ ≅ (12)|4|(6)
σ ≅ (12)(4)(6)
σ ≅ 288

Therefore, the electrical conductivity for extrinsic n-type semiconductor is 288 S/m.

Calculating the Number of Free Conducting Electrons when the Electrical Conductivity for Extrinsic n-type Semiconductor, the Electron Mobility and the Electrical Charge is Given.

n = σ / μe(e)

Where:

n = Number of Free Conducting Electrons
σ = Electrical Conductivity for Extrinsic n-type Semiconductor
μe = Electron Mobility
e = Electrical Charge

Let’s solve an example;
Given that, the electrical conductivity for extrinsic n-type semiconductor is 40, the electron mobility is 4 and the electrical charge is 2. Find the number of free conducting electrons?

This implies that;

σ = Electrical Conductivity for Extrinsic n-type Semiconductor = 40
μe = Electron Mobility = 4
e = Electrical Charge = 2

n = σ / μe(e)
n = 40 / 4(2)
n = 40 / 8
n = 5

Therefore, the number of free conducting electrons is 5.

Calculating the Electron Mobility when the Electrical Conductivity for Extrinsic n-type Semiconductor, the Number of Free Conducting Electrons and the Electrical Charge is Given.

μe = σ / n(e)

Where:

μe = Electron Mobility
σ = Electrical Conductivity for Extrinsic n-type Semiconductor
n = Number of Free Conducting Electrons
e = Electrical Charge

Let’s solve an example;
Find the electron mobility when the electrical conductivity for extrinsic n-type semiconductor is 60, the number of free conducting electrons is 3 and the electrical charge is 4.

This implies that;

σ = Electrical Conductivity for Extrinsic n-type Semiconductor = 60
n = Number of Free Conducting Electrons = 3
e = Electrical Charge = 4

μe = σ / n(e)
μe = 60 / 3(4)
μe = 60 / 12
μe = 5

Therefore, the electron mobility is 5.

Calculating the Electrical Charge when the Electrical Conductivity for Extrinsic n-type Semiconductor, the Number of Free Conductivity Electrons and the Electron Mobility is Given.

e = σ / n(μe)

Where:

e = Electrical Charge
σ = Electrical Conductivity for Extrinsic n-type Semiconductor
n = Number of Free Conducting Electrons
μe = Electron Mobility

Let’s solve an example;
Find the electrical charge when the electrical conductivity for extrinsic n-type semiconductor is 30, the number of free conducting electrons is 2 and the electron mobility is 5.

This implies that;

σ = Electrical Conductivity for Extrinsic n-type Semiconductor = 30
n = Number of Free Conducting Electrons = 2
μe = Electron Mobility = 5

e = σ / n(μe)
e = 30 / 2(5)
e = 30 / 10
e = 3

Therefore, the electrical charge is 3.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the electrical conductivity for extrinsic n-type semiconductor.

To get the answer and workings of the electrical conductivity for extrinsic n-type semiconductor 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

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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 Electrical Conductivity for Extrinsic n-type Semiconductor under Electrical Properities

The screenshot below displays the page or activity to enter your values, to get the answer for the electrical conductivity for extrinsic n-type semiconductor according to the respective parameter which is the Number of Free Conducting Electrons (n), Electron Mobility (μe) and Electrical Charge (e).

Now, enter the values appropriately and accordingly for the parameters as required by the Number of Free Conducting Electrons (n) is 12, Electron Mobility (μeis 6 and Electrical Charge (e) is 4.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the electrical conductivity for extrinsic n-type semiconductor and presents the formula, workings and steps too.

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