Three infinite straight wires are fixed in place and aligned parallel to the z-a

Question

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-16.0 cm, 0) carries current I1 = 3.0 A in the negative z-direction. The wire at (x,y) = (16.0 cm, 0) carries current I2 = 0.9 A in the positive z-direction. The wire at (x,y) = (0, 27.7 cm) carries current I3 = 7.6 A in the positive z-direction.

What is Fx(1), the x-component of the force exerted on a one meter length of the wire carrying current I1?

Im not sure where to go with this one. I have found the x and y component at the origin of the magnetic field produced by the wires. If you could show your steps that would be great!

Explanation / Answer

F12,x = - i1 i2/2d = -4*3.14e-7*3*0.9/2/3.14/0.32 = -1.6875e-6 N

F13,x = - i1 i3 cos60/2d = -4*3.14e-7*3*7.6*0.5/2/3.14/0.32 = -7.125e-6 N

F = F12,x = + F13,x = -1.6875e-6 - 7.125e-6 = -8.81e-6 N

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