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Would Gauss’s law remain valid if Coulomb’s law were replaced by an inverse cube law?[/quite]No.Quote from: ScienceLoversuitable example. Coulomb’s law and Gauss’s law are equivalent statements? ? That's true. But Coulomb's law is an inverse square law and because of that they are equivalent because Coulomb's law is an inverse square law. If it wasn't then that would not longer be true. If you were to follow the derivation of Gauss's law you'd see this. Gauss's law is more appropriately called Gauss's theorem because it can be derived.

suitable example. Coulomb’s law and Gauss’s law are equivalent statements? ?

Thanks for the great response, can you give an example please for Would Gauss’s law remain valid if Coulomb’s law were replaced by an inverse cube law?like comparison when its valid and why not valid?