Q122 / 150 · MHT CET 2025 (19 Apr Shift 2) · Physics

If M is the magnetisation induced in the material, H is the magnetic field intensity, B is the net magnetic field inside the material then the correct relation between them is ( $\mu_0=$ permeability of free space)

  • A
    $B=\frac{\mu_0}{(H+M)}$
  • B
    $B=\mu_0(H-M)$
  • C
    $B=\frac{\mu_0}{(H-M)}$
  • Correct answer
    D
    $\mathrm{B}=\mu_0(\mathrm{H}+\mathrm{M})$

Solution

The magnetic field $\mathrm{B}$ in a material results from the superposition of the external field contribution $\mu_0 \mathrm{H}$ and the magnetization contribution $\mu_0 \mathrm{M}$.

$\mathrm{B} = \mu_0 (\mathrm{H} + \mathrm{M})$

For the magnitudes, this simplifies to $B = \mu_0 (H + M)$.

Among the options, only D) $B = \mu_0 (H + M)$ matches this relation.

Hence, the correct answer is option: 'D'.

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