Problem 3.358

In a certain region of the inertial reference frame there is magnetic field with induction $B$ rotating with angular velocity $\omega$ . Find $\nabla \times \mathbf{E}$ in this region as a function of vectors $\omega$ and $\mathbf{B}$ .

\boldsymbol{\nabla} \times \mathbf{E}=-[\boldsymbol{\omega} \mathbf{B}]

Electromagnetic Induction. Maxwells Equations