Why always like poles repel and unlike poles attract

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SUMMARY

The discussion centers on the fundamental principles of magnetism, specifically why like poles repel and unlike poles attract. It is established that electromagnetism is treated as a fundamental force, and the laws governing these interactions are derived from the behavior of electric and magnetic fields. The energy in the overlapping fields is described by the equation \(\frac{\mathbf{E}^2 + \mathbf{B}^2}{8\pi}\), indicating that when like poles are brought together, the energy increases, while unlike poles reduce energy by canceling fields, leading to attraction.

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ravivarma
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Can anybody say me why always like poles repel and unlike poles attract but not why like poles attract and unlike poles attract
 
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I'm tempted to say "that's just the way it is". In order to give a reason for this, we need to somehow model electromagnetism on something more fundamental, and then derive the equations. But, electromagnetism is treated as a fundamental force, so the laws are just that way.

The electric and magnetic fields of two particles overlap and add together. The energy in the field goes something like
[itex]\frac{\mathbf{E}^2 + \mathbf{B}^2}{8\pi}[/itex]
Since this is quadratic in field amplitude, when you bring two fields together, the energy in the field is more than the sum of the energies apart. But if you cancel out the fields, the energy decreases. Unlike charges will cancel out the fields, so it reduces the energy.

Systems try to go toward thermal equilibrium, which usually means toward minimum energy, since the ambient temperature is pretty small.
 

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