Calculate the Magnetic Field Intensity (H)

Magnetic flux density is related to magnetic field intensity by $B = \mu_0 \mu_r H$. Rearranging for H: $H = \frac{B}{\mu_0 \mu_r}$

$H = \frac{0.05}{4\pi \times 10°{-7} \times 50}$

Determine H value

Substituting the values: $H = \frac{0.05}{200\pi \times 10°{-7}} = \frac{0.05}{6.283 \times 10°{-5}} \approx 795.77$ A/m.

$H \approx 795.77 \text{ A/m}$

Calculate Magnetization (M)

Magnetization M is given by $M = \chi_m H$, where $\chi_m = \mu_r - 1$. So, $M = (\mu_r - 1) H$.

$M = (50 - 1) \times 795.77 = 49 \times 795.77$

Final Computation

Multiplying the values: $M = 49 \times 795.77 \approx 38992.73$ A/m, which rounds to approximately 39,000 A/m.

$M \approx 39,000 \text{ A/m}$