[en] Starting from a previous kinetic theory of the plasma boundary layer (charge exchange model of the presheath) we investigate a collisionless planar electrode sheath of a capacitively coupled rf discharge in the frequency range between the ionic and electronic plasma frequencies (ω_p+<<ω<<ω_p-). The resulting model equations are evaluated in an approximation based on thick sheath assumptions. We calculate the current voltage characteristics of the sheath and analyse the voltage distribution in a two electrode system. (orig.)