A) \[{{\chi }_{m}}={{\mu }_{r}}+1\]
B) \[{{\chi }_{m}}={{\mu }_{r}}-1\]
C) \[{{\chi }_{m}}=\frac{1}{{{\mu }_{r}}}\]
D) \[{{\chi }_{m}}=3(1+{{\mu }_{r}})\]
Correct Answer: B
Solution :
Total magnetic flux density B in a material is the sum of magnetic flux density in vacuum \[{{B}_{0}}\] produced by magnetising force and magnetic flux density due to magnetisation of material \[{{B}_{m}}\] ie, \[B={{B}_{0}}+{{B}_{m}}\] \[\Rightarrow \] \[B={{\mu }_{0}}H+{{\mu }_{0}}I={{\mu }_{0}}(H+I)\] \[={{\mu }_{0}}H(1+{{\chi }_{m}})\] Also \[{{\mu }_{r}}=(1+{{\chi }_{m}})\]
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