[[Maxwell's equations]]
# Gauß's law for magnetic flux

**Gauß's law for magnetic flux** is essentially the statement that there are no magnetic monopoles, so for any solid $\Omega$
$$
\begin{align*}
\oiint_{\partial\Omega} \vab B \cdot d\vab a = 0
\end{align*}
$$
^Integral

and equivalently by [[Острогра́дский's divergence theorem]]
$$
\begin{align*}
\vab\nabla \cdot \vab B = 0
\end{align*}
$$
^Differential

---
#state/tidy | #SemBr | #lang/en