Net force between three long wires (undefined length) must equal zero.
Wire 1: Current going Up \(I_1\)
Wire 2: Current going Down \(I_2\)
Distance between wire 1 and wire 2 = \(d_{12}\)
How would you go about finding the location of Wire 3 relative to Wire 1 and the current \(I_3\) of Wire 3 such that \(F_{net}=0\) for each wire?
There's equations for two wires, force per unit length \(\frac{F}{L}=\frac{\mu_0 I_1 I_2}{2\pi d}\)
But I can't seem to figure out how to use it. Or if there's something else.

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