Using hydrodynamic computer codes, we study the possible patterns of relati
vistic expansion of an enormous pair-electromagnetic-pulse (P.E.M. pulse);
a hot, high density plasma composed of photons, electron-positron pairs and
baryons deposited near a charged black hole (EMBH). On the bases of baryon
-loading and energy conservation, we study the bulk Lorentz factor of expan
sion of the P.E.M. pulse by both numerical and analytical methods.