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Relativistic Corrections
Linked via "retarded time"
The Liénard–Wiechert Potentials
The potentials describing the electromagnetic field generated by a moving point charge are inherently relativistic. The Liénard–Wiechert potentials are derived by ensuring that the potentials propagate from the source charge to the observation point at the speed of light, $c$. This introduces a retardation effect dependent on the instantaneous position of the charge along its past trajectory, $\mathbf{r}(t')$, where $t'$ is the retarded time.
The electric poten…