Here we investigate the effects of the cutoff models on the electrostatic potential generated by the induced dipoles in the environment. The effects of an environment on the central quantum subsystem obviously depend on the nature of the environment, but it is also highly dependent on the property of interest, which may be insusceptible even to highly perturbing environments. Therefore it is appropriate to examine the embedding potential directly. It is, after all, the quantity that enters the Hamiltonian of the quantum subsystem and thus determines whether there can be an environmental effect at all, irrespective of the calculated property. To this end, we have calculated the electrostatic potentials from the permanent multipoles and induced dipoles at the center of mass of the quantum subsystem using models A-D. For models A and B, this also includes varying the cutoff distance.