$(20$ points$)$ Consider a proton moving in the $-$y direction at a speed of ${10}^5\frac{m}{s}$ next to a current carrying wire. The distance between the proton and the wire is $d=4cm.$ The magnetic field vector at the proton due to the wire is

$|$

$1-(5$ points$)$ Calculate the electric current in the wire

$I=$ A

$2-(5$ points$)$ The direction of the electric current in the wire is in the

$3-(5$ points$)$ The magnitude of the magnetic force acting on the proton

$F=$ N

$$

$4-(5$ points$)$ The magnetic force on the proton is in the direction.