Explanation:
It is given that,
Current carried in the conductor, I = 14.7 A (+x axis)
The magnetic force per unit length on the conductor, [tex]\dfrac{F}{L}=0.125\ N/m[/tex] (-y axis)
The magnetic force is given by :
[tex]F=ILBsin\theta[/tex]
[tex]\theta=90[/tex]
[tex]F=ILB[/tex]
[tex]B=\dfrac{F}{IL}[/tex]
[tex]B=\dfrac{0.125}{14.7}[/tex]
B = 0.0085 T
According to right hand rule, the direction of magnetic force can be calculated. So, the direction of magnetic field is along +z axis. Hence, this is the required solution.