The relationship between the magnetic susceptibility \((\chi )\) and the magnetic permeability \((\mu )\) is given by : …
The relationship between the magnetic susceptibility \((\chi )\) and the magnetic permeability \((\mu )\) is given by :
( \({\mu }_{0}\) is the permeability of free space and \({\mu }_{\mathrm{r}}\) is relative permeability)
[JEE Main 2025, 2 Apr (Shift 1)]
\(\chi =\frac{\mu }{{\mu }_{0}}-1\)
Relation between relative permeability and magnetic susceptibility:
\({\mu }_{r}=(1+\chi )\)
Expressing susceptibility in terms of relative permeability:
\(\chi ={\mu }_{r}−1\)
Relation between permeability and relative permeability:
\(\mu ={\mu }_{0}{\mu }_{r}\)
Substituting for relative permeability:
\({\mu }_{r}=\frac{\mu }{{\mu }_{0}}\)
Final Answer:
\(\chi =(\frac{\mu }{{\mu }_{0}}−1)\)
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