Jones, I was just curious about how electrons would behave at ever higher velocities. The idea came to me one day when I was wondering why two parallel wires carrying the same DC current attract each other when the charges flowing through each were electrons. I assumed that positive ions within each wire balanced out the coulomb repulsion that would normally occur between electrons that are separated from each other by a fixed distance. It was fairly easy to derive the incremental attraction of a tiny section of the wire which I carried to the extreme. The extreme in that case is a single electron pair.
It was rewarding to find out that the magnetic attraction exactly matched the coulomb repulsion at the speed of light. I had no idea that this result would be demonstrated. Dave -----Original Message----- From: Jones Beene <jone...@pacbell.net> To: vortex-l <vortex-l@eskimo.com> Sent: Sun, Feb 16, 2014 8:30 pm Subject: RE: [Vo]:Velocity dependent model of Coulomb's law Dave, You have “rediscovered”the widely known phenomenon in electrodynamics which allows for relativistic chargedelectron or ion beams with minimal radial containment. Permanent magnets arenow being used in some beam lines, even with 90 degree turns (with trim coils) From:David Roberson Sorry, I realize that my wording was flawed. I mean that thetwo particles are moving in parallel at the same velocity. Dave -----OriginalMessage----- From: H Veeder David Roberson wrote: Once I made a calculation of the attraction between two chargedparticles that are moving together at a constant velocity relative to my frameof reference. I was pleasantly surprised to find that as the velocity ofthe two charges approached the speed of light, a perfect balance between theelectric force and the magnetic force was achieved. This implied thatthere would be precisely zero electromagnetic force between the two and henceno acceleration either together or apart at the speed of light. Thismatches the special theory of relativity since at light speed the time dilationreaches infinity for the objects being viewed. Since their time was slowed down to zero, they should not be seen asaccelerating towards or away from each other. Dave
