In this article, an estimation is made to investigate the effect of magnetic field in generalized thermoelastic diffusion model in the context of Lord and Shulman theory in a perfectly conducting medium. The analytical solution in the Laplace transform domain is obtained by using the eigenvalue approach. The boundary conditions for the mechanical and Maxwell’s stresses at the internal and outer surfaces are considered. An application of a hollow cylinder is investigated where the inner surface is traction free and subjected to thermal shock, while the outer surface is traction free and thermally isolated. The numerical results of displacement, temperature, concentration and stress as well as the chemical potential represented analytical and graphically.