The potential energy of an electric dipole perpendicular to an electric field is considered zero due to the arbitrary nature of potential energy assignments. While the torque is maximized in this orientation, it does not correlate with potential energy, which is defined by the work a body can do based on its position. Changes in potential energy are what hold physical significance, not the absolute values. The dipole's center does not translate in a uniform field, leading to the conclusion that it can be assigned zero potential energy at this orientation. The discussion also touches on the concept of nonzero electric rotational potential energy when considering different orientations of the dipole.