  The ambiguity involved in the use of Maxwell's equation particularly in
electron plasmas is discussed. It is pointed out that in the slow time scale
perturbations the displacement current is ignored but it does not imply that
the electron density fluctuations vanish. The contradictions in the assumptions
and approximations used in the literature on this subject are discussed. A new
low frequency electromagnetic wave is described which is a normal mode of
non-uniform magnetized electron plasmas. This wave can couple with plasma
hybrid oscillations if ion dynamics is taken into account. It is stressed that
the electron magnetohydrodynamics (EMHD) model seems to be simple but in fact
its use is subtle and its scope is very limited.
