Dimensional formula for permeability
μ = B/H
Permeability is generally denoted by ‘mue' . Talking about its dimensional formula first we should know that it is equal to ratio of intensity of magnetic field ( simply magnetic field ) to magnetising field ( i.e. the degree to which a magnetic field can magnetise a material ) .
Mue = intensity of magnetic field (B)/Intensity of magnetising field (H)
As we know , unit of intensity of magnetic field is Tesla or Newton per Ampere metre (N/Am)
And unit of magnetising field is Ampere per metre (A / m).
So we can find by above formula that permeability has unit Newton per Ampere square
Mue = Newton / Ampere square
Or mue = N/ A ²
By calculating their dimensions we will get the dimension of permeability to be
[M L T ^ -2 A ^ -2].