Schematic cartoons representing the different results inferred in our work. Despite the value of the BH spin, if the Eddington ratio is low (λ_Edd < 0.1), the torus can survive in almost all directions resulting in a large covering factor (a); on the contrary, for larger λ_Edd, the torus only survives on the equatorial plane with a small covering factor and luminosity ratio R (b). For large ratios (R ∼ 1), the covering factor must be large and intercepts almost all the radiation coming from the AD. Moreover, large R values can be explained only if the BH is rapidly spinning (Sect. 2).