Classical Electrodynamics · Problem 11.15

Radiating Systems, Multipole Fields and Radiation — John David Jackson

Physics — E&M · parallel-fields-lorentz-transformation

Problem

In a certain reference frame a static, uniform, electric field E0E_0 is parallel to the xx axis, and a static, uniform, magnetic induction B0=2E0B_0 = 2E_0 lies in the xx-yy plane, making an angle θ\theta with the axis. Determine the relative velocity of a reference frame in which the electric and magnetic fields are parallel. What are the fields in that frame for θ≪1\theta \ll 1 and θ→(π/2)\theta \to (\pi/2)?

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