Task $1$: Figure $1$ shows a series circuit and two labeled points in space. Point $\text{'}$a$\text{'}$ is in the center of the circuit.

$($a$)$ Calculate the magnetic field $($magnitude and direction$)$ at point a$.$

$($b$)$ Calculate the magnetic field $($magnitude and direction$)$ at point b$.$

$($c$)$ Calculate the force $($magnitude and direction$)$ by the bottom wire on the top wire.