  A dissipative Lorentz-covariant Ohm's law which uses only the electromagnetic
degrees of freedom is proposed. For large conductivity, Maxwell equations
equipped with this Ohm's law reduce to the equations of Force-Free
Electrodynamics (FFE) with small dissipative corrections, but only in the
regions where the ideal FFE 4-current is space-like. This might indicate that
the pulsar emission comes primarily from the magnetic separartrix.
