Engineering

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

Last Updated on August 11, 2022

The electrical conductivity for extrinsic p-type semiconductor is illustrated by the image below.

To compute for electrical conductivity for extrinsic p-type semiconductor, three essential parameters are needed and these parameters are Number of Holes (p), Hole Mobility (μh) and Electrical Charge (e).

The formula for calculating electrical conductivity for extrinsic p-type semiconductor:

σ ≅ p|e|μh

Where:

σ = Electrical Conductivity for Extrinsic p-type Semiconductor
p = Number of Holes
μh = Hole Mobility
e = Electrical Charge

Let’s solve an example;
Find the electrical conductivity for extrinsic p-type semiconductor when the number of holes is 24, the hole mobility is 12 and the electrical charge is 4.

This implies that;

p = Number of Holes = 24
μh = Hole Mobility = 12
e = Electrical Charge = 4

σ ≅ p|e|μh
σ ≅ (24)|4|(12)
σ ≅ (24)(4)(12)
σ ≅ 1152

Therefore, the electrical conductivity for extrinsic p-type semiconductor is 1152 S/m.

Calculating the Number of Holes when the Electrical Conductivity for extrinsic p-type semiconductor, the Hole Mobility and the Electrical Charge is Given.

p = σ / μh(e)

Where:

p = Number of Holes
σ = Electrical Conductivity for Extrinsic p-type Semiconductor
μh = Hole Mobility
e = Electrical Charge

Let’s solve an example;
Find the number of holes when the electrical conductivity for extrinsic p-type semiconductor is 42, the hole mobility is 3 and the electrical charge is 1.

This implies that;

σ = Electrical Conductivity for Extrinsic p-type Semiconductor = 42
μh = Hole Mobility = 3
e = Electrical Charge = 1

p = σ / μh(e)
p = 42 / 3(1)
p = 42 / 3
p = 14

Therefore, the number of holes is 14.

Calculating the Hole Mobility when the Electrical Conductivity for Extrinsic p-type Semiconductor, the Number of Holes and the Electrical Charge is Given.

μh = σ / p(e)

Where:

μh = Hole Mobility
σ = Electrical Conductivity for Extrinsic p-type Semiconductor
p = Number of Holes
e = Electrical Charge

Let’s solve an example;
Find the hole mobility when the electrical conductivity for extrinsic p-type semiconductor is 24, the number of holes is 4 and the electrical charge is 2.

This implies that;

σ = Electrical Conductivity for Extrinsic p-type Semiconductor = 24
p = Number of Holes = 4
e = Electrical Charge = 2

μh = σ / p(e)
μh = 24 / 4(2)
μh = 24 / 8
μh = 3

Therefore, the hole mobility is 3.

Calculating the Electrical Charge when the Electrical Conductivity for Extrinsic p-type Semiconductor, the Number of Holes and the Hole Mobility is Given.

e = σ / μh(p)

Where:

e = Electrical Charge
σ = Electrical Conductivity for Extrinsic p-type Semiconductor
p = Number of Holes
μh = Hole Mobility

Given an example;
Find the electrical charge when the electrical conductivity for extrinsic p-type semiconductor is 72, the number of holes is 6 and the hole mobility is 2.

This implies that;

σ = Electrical Conductivity for Extrinsic p-type Semiconductor = 72
p = Number of Holes = 6
μh = Hole Mobility = 2

e = σ / μh(p)
e = 72 / 2(6)
e = 72 / 12
e = 6

Therefore, the electrical charge is 6.

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

To get the answer and workings of the electrical conductivity for extrinsic p-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

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 Electrical Conductivity for Extrinsic p-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 p-type semiconductor according to the respective parameter which is the Number of Holes (p), Hole Mobility (μh) and Electrical Charge (e).

Now, enter the values appropriately and accordingly for the parameters as required by the Number of Holes (p) is 24, Hole Mobility (μhis 12 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 p-type semiconductor and presents the formula, workings and steps too.

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