When a magnetic material (say iron) of cross-sectional area A, and relative permeability 𝜇ᵣ is placed in an uniform field of intensity H, two types of lines of induction pass through it: one due to the magnetizing field H and other due to the iron piece itself being magnetized by induction.
Thus total flux density B will be given by
B = 𝜇₀ H + I
where 𝜇₀ = permeability of free space
Now absolute permeability 𝜇ₐ is given by

Dividing either side by 𝜇₀ , we get the relative permeability

Thus total flux density B will be given by
B = 𝜇₀ H + I
where 𝜇₀ = permeability of free space
Now absolute permeability 𝜇ₐ is given by

Dividing either side by 𝜇₀ , we get the relative permeability

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