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

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SUMMARY

The unit of electron mobility is confirmed as m²/(V·S), derived from the formula μ = q/m⋅ν, where q is the charge, m is the mass of the electron, and ν is the electron collisional frequency. The dimensional analysis begins with C·s/kg, which can be transformed by substituting the unit of voltage (V = kg·m²·s⁻³·A⁻¹) into the equation. This substitution leads to the conclusion that the unit of mobility is indeed m²/(V·S), resolving the initial query effectively.

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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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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:)
 

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