The Time-Dependent Electromagnetic Fields of a Relativistic Circular Current

a

ω

u

z

The retarded, time-dependent electromagnetic fields of a relativistic circular current are computed by the Heaviside-Feynman formulas. The radius of the circle of the source is 1 meter and the angular velocity is

ω

in radians per second. The charge is represented as a red dot and the constant charge velocity is less than the speed of light.

As you move away from the charge's rotation plane, you can see the retardation effect by observing the discrepancy between the charge's position and the electric field vortex.