Home | 18.022 | Chapter 14 | Section 14.1

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Proof 2

We prove this by noticing that g gives the potential produced by a point charge at r':
This integral merely sums up the contributions from small volumes dV around the point r', with the charge dV in that volume contributing as if it was a point charge at r'.
We can recover v from f by taking its divergence: v = grad f = (r')(r - r')r - r'-3 dV'.