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For questions that utilize the concept of magnetic fields (commonly denoted by the letter B), or for questions whose answers likely involve magnetic fields. More specific than the [magnetism] tag, as questions about the phenomenon & theory of magnetism do not necessarily involve the discussion of fields.
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Isn't the concept of light against law of conservation of energy itself?
A changing electric field induces a magnetic field. The changing magnetic field induces an electric field. So they can indeed just keep going "on forever".
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Formula for Magnetic Force on a Current-Carrying Wire
As the comments have already pointed out the two equations are related but not the same. The first equation represents the "magnetic force on a straight wire segment" due to a magnetic field $B$. That …