Why is ∇·(r/r³) = 0 everywhere except at the origin, where it becomes 4πδ(r)?

#potentialg
This result plays a fundamental role in electrostatics, field theory, and the theory of distributions.
We explain why the divergence vanishes everywhere except at the origin, and how the Dirac delta function naturally appears as a point source.

Why is ∇·(r/r³) = 0 everywhere except at the origin, where it becomes 4πδ(r)?

This concept is extremely important for CSIR NET, GATE Physics, IIT JAM, and M.Sc Physics students, especially in topics like vector calculus, electrostatics, and mathematical methods in physics.

Watch till the end for a clear, intuitive, and rigorous explanation of this classical identity.


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