$(15$ pts$)$ Two current carrying wires are arranged as shown in the figure. The top wire carries current $I_1,$ and the bottom wire carries current $I_2.$

a$)(5pts)$ Find the magnitude of the magnetic field at point $P$ from the straight portions of the $2$ wires. Be sure to fully explain mathematically.

b$)(6$ pts $)$ Find the magnitude of the magnetic field at point P from the $2$ semicircular portions of the $2$ wires in terms of $I_1,I_2,$ and constants.

c$)(4$ pts$)$ If $I_1>I_2$ and an electron at point P was moving to the right with speed $v,$ what would the magnitude and direction of the magnetic force on the electron be$?$