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kof9595995
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In Feyman's lectures on physics, he said Maxwell's first 2 equations in electrostatics, namely curl E =0 and div E=rho/epsilon, is equivalent to Coulomb's law and superposition principle,
But for a particular charge distribution, we can always use Coulomb's law and superposition principle to determine one unique field, and when it comes to Maxwell's equation-if we just want to satisfy the 2 equations-we can add any gradient of a harmonic field to the field we get using Coulomb's law and superposition principle,thus we can get infinitely many solutions.
So how can it be that they are equivalent??
But for a particular charge distribution, we can always use Coulomb's law and superposition principle to determine one unique field, and when it comes to Maxwell's equation-if we just want to satisfy the 2 equations-we can add any gradient of a harmonic field to the field we get using Coulomb's law and superposition principle,thus we can get infinitely many solutions.
So how can it be that they are equivalent??
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