  Complementing a study which was published in this journal in 2005, we present
explicit calculations of fields predicted by Maxwell's equations both in Lorenz
and in Coulomb gauge. Analytic expressions are obtainable, when the source of
the fields is an oscillating electric dipole. As before it is found that the
fields calculated by different methods are at variance. In addition, the reason
for the discrepancies is revealed: The retarded integrals turn out not to
satisfy the inhomogeneous wave equations which they are supposed to solve.
