# Curl of magnetic field produced by current carrying wires with infinitesimal small area

Can Magnetic fields produced by thin current carrying wires with infinitesimal area have curl with a delta function in it ?? As area is Zero current density J definitely becomes infinite at where Wire is located So curl has a delta function in it , Am I right ?Please correct me

Off hand, I'd think so, for some scenarios: $$\vec{r}$$ as in cylindrical coordinates, $$\nabla \times \vec{B}=\mu_0\vec{\delta}(\vec{r}-\vec{r_0})J_0$$. You could probably find some examples of this researching Green's Method solutions to Maxwell's Equations.