New posts in Magnetostatics

Are there cases where $\nabla\cdot\iiint\frac{\mathbf{J}(\mathbf{x}')}{\left|\mathbf{x}-\mathbf{x'}\right|}\mathrm{d}V' \neq 0$?

Why is this vector field curl-free?

Deriving Biot-Savart Law from Maxwell's Equations

How would you define electrostatics and magnetostatics starting from Maxwell's equations?

Why is curl of current density $\nabla \times \vec{J}$ equal zero?