A pair of long, rigid metal rods, each of length , lie parallel to each other on

Question

A pair of long, rigid metal rods, each of length , lie parallel to each other on a perfectly smooth table. Their ends are connected by identical, very light conducting springs of force constant each(the figure (Figure 1) ) and negligible unstretched length. If a current runs through this circuit, the springs will stretch.


Part A
At what separation will the rods remain at rest? Assume that is large enough so that the separation of the rods will be much less than .
Express your answer in terms of the variables I, L, k, and appropriate constants (mu, and pi).
=
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Explanation / Answer

EDIT: typo (F = mu_0 I^2l/2pi d = k(d_0 - d)) Where d is the final distance between wires and (d_0) the initial distance

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