Where can I find a picture of the magnetic field lines produced by a charged particle moving near the speed of light? Is there a formula for the strength of B and direction of field lines as v --> c? Does this equation reduce to Ampere's right hand rule for a moving charge's ability to create classical circular magnetic field lines when the particle's velocity is non-relativistic? Is there an animation somewhere that shows the transition from circular, Ampere field lines at everyday velocities to relativistic field lines as the charged particle gets faster? I know that the electric field lines go from spherically symmetric to being bunched up like "Broomstick Hairs." I know that in relativity, E can be B in another frame and vice versa, but I'm not looking for transformations. I'm just watching the high energy particle go by and looking at its field lines.