What is the dimensional formula of mobility?

The dimensional formula of mobility is [M⁻¹ T² A], which comes from mobility = drift velocity ÷ electric field.

Dimensional formula of mobility

The SI unit of mobility is m²/(V·s).

Mobility

[M⁻¹ T² A]

Written in full: [M⁻¹ L⁰ T² A¹ K⁰]

Mobility = Drift velocity ÷ Electric field

Put in the dimensions of each part: [LT⁻¹] ÷ [MLT⁻³A⁻¹] = [M⁻¹ T² A].

The SI unit of mobility is m²/(V·s).

None of the other quantities on this site share these exact dimensions.

Quantity	Formula
Electric resistance	[M L² T⁻³ A⁻²]
Electrical conductance	[M⁻¹ L⁻² T³ A²]
Resistivity	[M L³ T⁻³ A⁻²]
Current density	[L⁻² A]
Electromotive force	[M L² T⁻³ A⁻¹]
Electric power	[M L² T⁻³]
Electrical conductivity	[M⁻¹ L⁻³ T³ A²]
Electrochemical equivalent	[M T⁻¹ A⁻¹]
RC time constant	[T]