An infinitely long, thin wire carrying a current

I is bent into a half$-$circle of radius a$.$ The

half$-$circle lies in the xy$-$plane with its center

at the origin, while the remaining straight

sections of the wire extend parallel to the x $-$

axis. Determine the magnetic flux density vec$($B$)$

at the origin.

please make Each step in your solution properly explained $.$For mathematical steps,

can you provide the formula, law, or theorem applied

$.$For conceptual steps, please include a brief explanation in words for my understanding.. The two paralel lines do not cancel out each others Magnetic field because of right hand rule. Those two magnetic fields towards to $+$z axsis. DO NOT CANCEL OUT THOSE TWO MAGNETIC FIELDS. thank you