The relationship between the magnetic susceptibility $(χ)$ and the magnetic permeability $(μ)$ is given by :
( $μ_{0}$ is the permeability of free space and $μ_{r}$ is relative permeability)

Question

The relationship between the magnetic susceptibility ( χ ) and the magnetic permeability ( μ ) is given by : ( μ 0 ​ is the permeability of free space and μ r ​ is relative permeability)

TestHub · Accepted Answer

We have ​ μ r ​ = ( 1 + χ ) ⇒ χ = ( μ r ​ − 1 ) μ = μ 0 ​ μ r ​ ⇒ μ r ​ = μ 0 ​ μ ​ ∴ χ = ( μ 0 ​ μ ​ − 1 ) ​

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