  Calculating the electromagnetic field of a uniformly accelerated charged
particle is a surprisingly subtle problem that has been long discussed in the
literature. While the correct field has been obtained many times and through
various means, it remains somewhat unclear why the (supposedly general) field
expression derived from the Li\'enard-Wiechert potentials misses some terms. We
present new derivations of the missing field and potential terms by considering
only pure hyperbolic motion, and we amend the offending step in the standard
Li\'enard-Wiechert construction.
