  The methods of macroscopic averaging used to derive the macroscopic Maxwell
equations from electron theory are methodologically incorrect and lead in some
cases to a substantial error. For instance, these methods do not take into
account the existence of a macroscopic electromagnetic field EB, HB generated
by carriers of electric charge moving in a thin layer adjacent to the boundary
of the physical region containing these carriers. If this boundary is
impenetrable for charged particles, then in its immediate vicinity all carriers
are accelerated towards the inside of the region. The existence of the
privileged direction of acceleration results in the generation of the
macroscopic field EB, HB. The contributions to this field from individual
accelerated particles are described with a sufficient accuracy by the
Lienard-Wiechert formulas. In some cases the intensity of the field EB, HB is
significant not only for deuteron plasma prepared for a controlled
thermonuclear fusion reaction but also for electron plasma in conductors at
room temperatures. The corrected procedures of macroscopic averaging will
induce some changes in the present form of plasma dynamics equations. The
modified equations will help to design improved systems of plasma confinement.
