To solve this problem we will apply the concepts related to the Magnetic Force, which is defined as the product between the currents multiplied by the length where they are transmitted and inversely proportional to the distance that separates them, considering between them, the costs indicated below . We will simply replace the values and obtain the desired value,
[tex]F = \frac{\mu_0 I_1I_2 l }{2\pi d}[/tex]
Here,
[tex]\mu_0[/tex] = Permeability of free space
[tex]I_{1,2}[/tex] = Current at each state
[tex]l[/tex] = Length
[tex]d[/tex] = Distance of separation
Replacing with our values we have that the force is,
[tex]F = \frac{(4\pi *10^{-7})(120)(120)(290)}{2\pi (0.23)}[/tex]
[tex]F = 3.63N[/tex]
Therefore the magnitude of the force is 3.63N, and if the currents are in same direction then force is attractive, while if the currents are in opposite direction then force is repulsive ( force is same).
