1. Tardigrade
  2. Question
  3. Physics
  4. Relation between permeability μ and magnetizing field H for a sample of iron is μ=((0.4/H)+12 × 10-4) henery/ metre, where unit of H is A / m. Find value of H( in A / m ) for which magnetic induction of 1.0 Wb / m 2 can be produced.

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Q. Relation between permeability $\mu$ and magnetizing field $H$ for a sample of iron is $\mu=\left(\frac{0.4}{H}+12 \times 10^{-4}\right)$ henery/ metre, where unit of $H$ is $A / m$. Find value of $H($ in $A / m )$ for which magnetic induction of $1.0\, Wb / m ^{2}$ can be produced.

Magnetism and Matter

Solution:

Magnetic induction, $B=\mu H$ (For medium)
$1=\left(\frac{0.4}{H}+12 \times 10^{-4}\right) H $
$1=0.4+12 \times 10^{-4} H$
$ \Rightarrow H=\frac{1-0.4}{12 \times 10^{-4}}=500\, A / m$