Assuming that the fields of a moving-point charge as computed from the retarded Liénard-Wiechert potentials give valid descriptions for moving electrons, it is shown that no net second-order static electric field of the type discussed by Rosser appears on the axis of a charge-neutral circular loop carrying a steady current. An argument is given for the nonexistence of such “residual” electric fields around any closed, charge-neutral region in which the current flow is time independent.