A ferromagnetic core of susceptibility 799 is subjected to a magnetizing field. The permeability of the material is
(Take \( \mu_0 = 4\pi\times10^{-7}\,\mathrm{T\,m\,A^{-1}} \))
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \( 3.2\pi\times10^{-4}\,\mathrm{T\,m\,A^{-1}} \)
The permeability of a material is related to its magnetic susceptibility \( \chi \) by \( \mu = \mu_0(1 + \chi) \).
\( \displaystyle \mu = 4\pi\times10^{-7}\,(1 + 799) = 4\pi\times10^{-7}\times800 \)
\( \displaystyle \mu = 3200\pi\times10^{-7} = 3.2\pi\times10^{-4}\,\mathrm{T\,m\,A^{-1}} \)