(Solved): The circular-shaped line current shown in the figure below resides in the \( x y \) plane in a med ...

The circular-shaped line current shown in the figure below resides in the \( x y \) plane in a medium with relative permeability \( \mu_{\mathrm{r}}=40 \). If the circle has a radius of \( R=2.0 \mathrm{~cm} \) and carries a current of \( I=2.4 \mathrm{~A} \), calculate the magnetic flux density \( \vec{B} \) at position \( (0,0, z) \) where \( z= \) \( 0.50 \mathrm{~cm} \)