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Meaning of relative permeability

Short answer

Relative permeability μ_r = μ/μ₀ = 1+χ_m indicates how many times the flux density in a material exceeds that in free space for the same applied H, measuring the ease of magnetization; it is near 1 for non-magnetic substances and much larger for ferromagnets.

What does the relative permeability of a substance indicate?

Relative permeability μ_r = μ/μ₀ = 1 + χ_m tells how many times the magnetic flux density in a material is greater than in free space for the same magnetising field H. It indicates how easily the material can be magnetised: μ_r ≈ 1 for non-magnetic and para/diamagnetic materials, and μ_r ≫ 1 (hundreds to thousands) for ferromagnetic materials such as iron.

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