How to confirm unit of electron mobility as m^2/(V*S)?

In summary, the electron mobility in plasma is represented by the equation μ = q/m⋅ν, where q, m, and ν are the charge, mass, and collisional frequency of the electron. The unit of mobility is m2/V⋅S, but it can also be expressed as C⋅s/kg. This can be derived from the equation V = kg⋅m2⋅s-3⋅A-1, which represents the dimension of the volt. Therefore, the problem of reaching m2/V⋅S from the initial dimension of C⋅s/kg has been solved.
  • #1
goodphy
216
8
Hello.

Electron mobility in plasma is μ = q/m⋅ν, where q, m and ν are charge and mass of electron and electron collisional frequency. (https://en.wikipedia.org/wiki/Electrical_mobility)

And unit of the mobility is m2/V⋅S (https://en.wikipedia.org/wiki/Electron_mobility)

According to the formula, dimension of the mobility is firstly C⋅s/kg. But I don't know how to reach m2/V⋅S from from this.

Could you please help me to derive this?

Thank to read this!
 
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  • #2
I'm sorry but I found the answer immediately.

V = kg⋅m2⋅s-3⋅A-1 (https://en.wikipedia.org/wiki/Volt)

Substituting V into m2/V⋅s gives C⋅s/kg.

Problem is solved:)
 

Related to How to confirm unit of electron mobility as m^2/(V*S)?

1. What is the unit of electron mobility?

The unit of electron mobility is typically expressed as square meters per volt-second (m^2/(V*S)). This unit represents the ratio of the electrons' velocity to the applied electric field, and is commonly used in the field of semiconductor physics.

2. How do you confirm the unit of electron mobility as m^2/(V*S)?

To confirm the unit of electron mobility, you can use the mathematical formula for electron mobility: μ = σ/(ne), where μ is the mobility, σ is the electrical conductivity, n is the carrier concentration, and e is the elementary charge. By substituting the units for each variable, you can see that the unit for electron mobility is indeed m^2/(V*S).

3. Why is it important to use the correct unit for electron mobility?

Using the correct unit for electron mobility is important because it allows for accurate comparisons and calculations in the field of semiconductor physics. Different units can lead to incorrect results and hinder the understanding of the behavior of electrons in materials.

4. Can electron mobility be expressed in other units?

Yes, electron mobility can be expressed in other units such as square centimeters per volt-second (cm^2/(V*S)) or square centimeters per volt-hour (cm^2/(V*h)). However, the unit m^2/(V*S) is the most commonly used and accepted unit for electron mobility.

5. How does electron mobility relate to the movement of electrons in a material?

Electron mobility is a measure of how easily electrons can move through a material in response to an electric field. A higher electron mobility means that the electrons can move more easily, while a lower electron mobility indicates that the electrons are less mobile and have a harder time moving through the material.

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