Question
Write relation between $B , H , I , \chi$ and $\mu$.
✓
Answer
Magnetic suspectibility : In a small magnetised field, intensity of magnetisation (I) of the substance is proportional to magnetic field $( H )$,
which means $I \propto H$ or, $ \begin{array}{c} I=\chi H \\or \chi=\frac{I}{H} \end{array} $
Here, is a constant which is known as magnetic susceptibility of the substance.
Magnetic permeability : Capacity of passing of magnetic field lines from any medium is known as magnetic permeability of that medium. Mathematically, it is the ratio of magnetic induction induced B inside the substance and magnetic field H . It is represented by $\mu$. It is a scalar quantity.
$ \mu=\frac{B}{H} $ On dividing equation (1) by (2), $ \frac{\mu}{\chi}=\frac{\frac{B}{H}}{\frac{I}{H}} $
which means $I \propto H$ or, $ \begin{array}{c} I=\chi H \\or \chi=\frac{I}{H} \end{array} $
Here, is a constant which is known as magnetic susceptibility of the substance.
Magnetic permeability : Capacity of passing of magnetic field lines from any medium is known as magnetic permeability of that medium. Mathematically, it is the ratio of magnetic induction induced B inside the substance and magnetic field H . It is represented by $\mu$. It is a scalar quantity.
$ \mu=\frac{B}{H} $ On dividing equation (1) by (2), $ \frac{\mu}{\chi}=\frac{\frac{B}{H}}{\frac{I}{H}} $
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