We have studied in this paper, investigated the influence of an electron beam on a
dense warm inhomogeneous plasma, and the instability resulting in this system, through
studying of the influence of plasma density variation on the beam-plasma insta
bility
growth. Where we considered the plasma density is in the same order of Fermi gas, and we
considered the model of homogeneous cold beam-inhomogeneous warm plasma system,
with small phase velocity in compared with the case of existence of an external magnetic
field. We derived the differential equations that describe this system in the case of collision
plasma because of its high density, and we derived the differential equation that expresses
the energy absorbed in the wholesale and we solved this equation then we drew the
suitable graphics using Mathcad program, discussed, and analyzed the results that we
reached. Results indicated an amplification of outcome waves in wholesale because of the
absorbed energy and instability increasing in the system.