In the figure a current $i=10A$ is set up in a long hairpin conductor formed by bending a wire into a semicircle of radius $R=8\mathrm{.}3mm.$ Point $b$ is midway between the straight sections and sodistant from the semicircle that each straight section can be approximated as being an infinite wire. What are the $($a$)$ magnitude and $($b$)$ direction $($into or out of the page$)$ of vec$(B)$ at a and the $($c$)$ magnitude and $($d$)$ direction of vec$(B)$ at $b?$

$($a$)$ Number $$ Units

$($b$)$

$($c$)$ Number $$ Units $$

$($d$)$