All Problems

Electromagnetic Induction. Maxwells Equations

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 \(\mathbf{B}\).

Reveal Answer
×E=[ωB]\boldsymbol{\nabla} \times \mathbf{E}=-[\boldsymbol{\omega} \mathbf{B}]