Magnetic flux,ϕ = BA → (1) where B is magnetic field; A is area. Also, B = µH → (2) where μ is permeability; H is magnetic field intensity Substituting Eq. (2) in Eq. (1), we get ϕ = (µH)A or
ϕ
µ
=HA Now, Area A has dimensions L2 And magnetic field intensity H=
Number of turns × Current
Metre
⇒ H has dimensions L−1A. Therefore,
ϕ
µ
=L−1A×L2=LA Hence, the dimensions of ratio of magnetic flux and permeability μ are [M0L1T0A1]