  This paper analyzes the relationship between the Single Helical relaxed
states studied in R. Paccagnella, Phys. of Plasmas 23 (2016) 092512 and the so
called 'helical ohmic equilibria', i.e. plasma states that are solutions of the
helical Grad Shafranov equation and that satisfy the constraint imposed by the
Ohm law. The existence of marginally stable helical equilibria is clearly
demonstrated, while the ohmic constraint is not exactly satisfied within the
proposed first order perturbation theory. The model predictions are however
satisfactorily compared with experimental trends.
