Hmmm, I’m having trouble spotting my error, but it seems my calculation from the LW potential doesn’t agree with the field transformation approach. I’ll be the first to admit my knowledge of relativistic EM is shaky.
I’ll walk through my derivation and maybe you can help me catch my mistake.
My...
Looking at the fields that result from a uniformly moving electric charge, derived from the Lienard-Wiechert potentials, you find that an observer at a right angle to the direction of travel will see a magnetic field proportional to ##\beta (1 - \beta^2)## suggesting a maximum field at ##\beta =...