[en] In H-1 heliac, all power (total 80kW) is coupled to the plasma by a pair of saddle coil antennas positioned at the top and bottom of the plasma. Each antenna is made of unshielded solid copper bar of 12.5mm diameter, with approximate loop dimension of 400mm x 200mm. The antennas make direct contact with the plasma near the last closed flux surface, or under certain circumstances, define a scrape off layer themselves. One side of each antenna is connected directly to machine earth, thus precluding the possibility of DC self biasing. The antenna voltage can therefore swing very positive with respect to the plasma potential. Typical measurements reveal an antenna RF peak voltage of 6-7kV (DC voltage is zero) and an antenna sheath current of 20-30A peak. Since the bulk (RF and DC) plasma potential near the edge downstream from the antenna are measured to be near zero potential, a transition must occur between high positive antenna voltages and the low bulk potential. The results show that if the scale length for an evanescent transition is of the order of a few centimetres then ion heating effects may occur for the antenna voltages and conditions found on H-1 heliac. In this analysis, collisions are ignored in the sheath region and particles are assumed to be unmagnetized. The model is one dimensional, with the energized electrode constituting a wall at x = 0. Any particles reaching the electrode are assumed to be fully absorbed, with no secondary emission occurring. The major conceptual component of the model is the existence of a layer separated a distance x = s_max from the antenna in the bulk plasma where the electrode voltage is screened completely from the plasma. At this layer a 1-D Maxwellian ion (or electron) distribution f_B, stationary in time, is directed towards the electrode. A functional form for the electric field E(x,t) is imposed non-self consistently throughout the sheath between x = 0 and x = s_max