Helmholtz Theorem

#Physics

$\displaystyle \nabla \cdot \vec{F}=D\land \nabla \times \vec{F}=\vec{C}\rightarrow F=-\nabla U+\nabla \times \vec{W}$

$\displaystyle U=\frac{1}{4\pi}\int \frac{D(\vec{r}')}{\lvert \vec{r}-\vec{r}'\rvert} , \mathrm{d}^{3}r'$