{c}
{wiki=Maxwell_stress_tensor}

With electromagnetic momentum density $\mathbf g=\epsilon_0\mathbf E\times\mathbf B$, the momentum-flux convention
$$
\sigma_{ij}=-\epsilon_0E_iE_j+\frac{\epsilon_0}{2}E^2\delta_{ij}
-\frac1{\mu_0}B_iB_j+\frac1{2\mu_0}B^2\delta_{ij}
$$
satisfies
$$
\partial_tg_j+\partial_i\sigma_{ij}=-(\rho\mathbf E+\mathbf J\times\mathbf B)_j.
$$


Maxwell stress tensor

{wiki=Maxwell_stress_tensor}

The Maxwell stress tensor is a mathematical construct used in electromagnetism to describe the distribution of electromagnetic forces in a continuous medium. It encapsulates the effects of electric and magnetic fields on the momentum and stress within a material that is subjected to electromagnetic fields.


 Maxwell stress tensor

ID: maxwell-stress-tensor