Hypothesis of a planet orbiting in 35 days. The dependency of the electric current carried by the Alfvén wings as a function of the distance. Its algebraic expression is given by Eq. (16), with E_i = Ω_∗Φ/2r (case of an optimal electric coupling). The distances are given in units of the light cylinder radius R_lc. The distance corresponding to the semi-major axis is indicated by the vertical line. For comparison, the current computed in (Kramer et al. 2006), given in Eq. (1) is indicated by the horizontal line.