  We establish the global-in-time existence of solutions of finite
relative-energy for the multidimensional compressible Euler-Poisson equations
for plasma with doping profile for large initial data of spherical symmetry.
Both the total initial energy and the initial mass are allowed to be {\it
unbounded}, and the doping profile is allowed to be of large variation. This is
achieved by adapting a class of degenerate density-dependent viscosity terms,
so that a rigorous proof of the inviscid limit of global weak solutions of the
Navier-Stokes-Poisson equations with the density-dependent viscosity terms to
the corresponding global solutions of the Euler-Poisson equations for plasma
with doping profile can be established. New difficulties arise when tackling
the non-zero varied doping profile, which have been overcome by establishing
some novel estimates for the electric field terms so that the neutrality
assumption on the initial data is avoided. In particular, we prove that no
concentration is formed in the inviscid limit for the finite relative-energy
solutions of the compressible Euler-Poisson equations with large doping
profiles in plasma physics.
