The magnetic Maxwell Stress Tensor components ( $T^{i j}$ ) are defined by the formula: $T^{i j}= \frac{1}{\mu_0}\left(B_i B_j-\frac{1}{2} \delta_{i j} B^2\right)$. This rank-two tensor describes the stresses and pressures exerted by the magnetic field on a boundary surface. The term $B_i B_j$ represents tension along magnetic field lines, while the second term (involving the Kronecker delta $\delta_{i j}$ ) contributes to isotropic pressure. Overall, $T^{i j}$ quantifies the momentum flux per unit area of the magnetic field. (64 words)

<aside> ❓

  1. What is the explicit formula for the components of the magnetic Maxwell Stress Tensor in terms of the magnetic field components and the Kronecker delta? </aside>