Problem 3.363

Using Eqs. $(3.6 \mathrm{~h})$, demonstrate that if in the inertial reference frame $K$ there is only electric or only magnetic field, in any other inertial frame $K^{\prime}$ both electric and magnetic fields will coexist simultaneously, with $\mathbf{E}^{\prime} \perp \mathbf{B}^{\prime}$