This　paper　is　concerned　with　two-fluid　time-dependent　non-isentropic　Euler-Maxwell　equations　in　a　torus　for　plasmas　or　semiconductors.　By　using　the　method　of　formal　asymptotic　expansions,　we　analyze　the　non-relativistic　limit　for　periodic　problems　with　the　prepared　initial　data.　It　is　shown　that　the　small　parameter　problems　have　unique　solutions　existing　in　the　finite　time　interval　where　the　corresponding　limit　problems　(compressible　Euler-Poisson　equations)　have　smooth　solutions.　Moreover,　the　formal　limit　is　rigorously　justified　by　an　iterative　scheme　and　an　analysis　of　asymptotic　expansions　up　to　any　order.　(C)　2009　Elsevier　Ltd.　All　rights　reserved.