The paper presents a study on the relevance of the relative position of the human trunk to the plane of the supporting pylons of various Overhead High Voltage Power Lines (OhHVPL), from the perspective of currents induced by the generated magnetic field. A homogenous model of the human body that considers the trunk as a cylindrical ellipsoid has been developed in CST Studio software. After necessary theoretical brevity, the results obtained by simulation for the loop currents along the perimeter associated with the large axis of the transversal section of the trunk and that associated with the small axis are presented and commented. The simulations have been performed for 5 relative positions (0o, 30o, 45o, 60o, 90o) of the human trunk with respect to the plane of the network supporting pylons and for three different types of symmetric, c double three-phase networks (110 kV and 640 A, 220 kV and 900 A, 400 kV and 1500 A). The obtained results make it possible to formulate recommendations on the reduction of exposure to magnetic fields. Also, more refined approaches might be further prepared to take into account cumulative aspects of short-term human exposure to Extreme Low Frequency (ELF) electrical and magnetic fields.