two-dimensional problem in electromagneto-thermoelasticity for a thermally and electrically conducting half-space solid whose surface is subjected to a time-dependent heat is studied in the context of Lord and Shulman theory. The solid is placed in an initial magnetic field parallel to the plane boundary of the half-space. The normal mode analysis is used to obtain the exact expressions for the considered variables. The results of the considered variables are represented graphically. From the distributions it can be found the coupled effect and thermal wave effect.