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Feb 09, 20251 min read

$\nabla \cdot F = D \land \nabla \times F = C \to F = - \nabla U + \nabla \times W$

$\displaystyle \nabla \cdot \vec{F}=D\land \nabla \times \vec{F}=\vec{C}\rightarrow F=-\nabla U+\nabla \times \vec{W}$
$\displaystyle U=\frac{1}{4\pi}\int \frac{D(\vec{r}')}{\lvert \vec{r}-\vec{r}'\rvert} \, \mathrm{d}^{3}r'$