Calculating The Scalar Potential
Given a vector field E, its scalar potential Φ can be calculated to be
where τ is volume. Then, if E is irrotational (Conservative),
This formula is known to be correct if E is continuous and vanishes asymptotically to zero towards infinity, decaying faster than 1/r and if the divergence of E likewise vanishes towards infinity, decaying faster than 1/r2.
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