Will the current in the wire attract each other

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The discussion revolves around whether currents in a single wire can attract each other. It notes that in a wire with a finite cross-section and no net charge, the electron density may be slightly higher in the interior due to magnetic fields. However, calculations indicate that this effect is minimal for realistic current flows. The increased electron density leads to repulsion, which counteracts any magnetic attraction. Overall, the forces involved are too small to result in significant attraction between currents in a wire.
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I wonder whether the current in a single wire will attract each other?
Eventually shrink to a line?
 
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In which way?
If you consider a current in a cable with finite cross-section and no net charge, electron density might be a big higher in the interior due to magnetic fields. I think I calculated that once, and the result was very small for realistic current flows. A higher electron density adds repulsion, which cancels the magnetic forces soon.
 
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