Identify the relationship between B and H

The magnetic field intensity $H$ is related to the magnetic flux density $B$ by the permeability of the material $\mu$, where $\mu = \mu_0 \mu_r$.

$B = \mu H = \mu_0 \mu_r H$

Rearrange the formula to solve for H

Isolate $H$ by dividing both sides by the permeability of the medium $\mu_0 \mu_r$.

$H = \frac{B}{\mu_0 \mu_r}$

Substitute the given values

Plug in $B = 0.05 \text{ T}$, $\mu_0 = 4\pi \times 10°{-7} \text{ H/m}$, and $\mu_r = 50$.

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

Calculate the result

Simplify the expression: $H = \frac{0.05}{200\pi \times 10°{-7}} = \frac{0.05}{0.00006283} \approx 795.77 \text{ A/m}$. Rounding to the nearest integer gives $796 \text{ A/m}$.

$H \approx 796 \text{ A/m}$