We discuss the peculiarities of the Ohm law in dilute polyelectrolytes containing a relatively low concentration n of the multiply-charged colloidal particles. It is demonstrated that in this conditions, the effective conductivity of polyelectrolyte is the linear function of n . This happens due to the change of electric field in the polyelectrolyte under the effect of colloidal particle polarization. Such mechanism gives grounds to propose the alternative scenario for the phenomenon observed experimentally.