It was established by the author in a previous article that the postulate of the constancy of speed of light of Special Relativity Theory is false for an electromagnetic system that consisted of a rest frame (denoted by K) constituted by a simple medium with loss (medium (I)), and a frame (denoted by K') in uniform rectilinear motion with respect to the first, wherein a perfectly conducting medium (medium (II)) fills the half space such that the interface of the two media is an infinite plane, perpendicular to the direction of motion of K'. In that system a plane wave was assumed to impinge on the boundary of the two media. In this paper we consider the same electromagnetic system but we add a point charge in uniform motion parallel to one of the rectangular axes perpendicular to the direction of motion of K'. Now it is this charge that is the source for the fields. However we find that the relationship that was found in the above mentioned article and that was the basis for arguing the falsity of the Special Relativity Theory does not change in the present system as well. The said relationship is an algebraic relationship between the relative speed of K' with respect to K, frequency measured from K', the constitutive parameters of medium (I) and the speed of light c in vacuum for reference system K. It is also remarked that, the falsity of Special Relativity Theory rises not only because of dependence of c on the frequency in this algebraic relationship, but also because of its dependence on the relative speed of K' with respect to K, which implies dependence of c on the reference systems.