We theoretically propose a simple model to control the charge-density flux in graphene waveguides produced by either magnetic or electrostatic barriers. We carefully study the lowest energy guided mode and find unexpected extended states for small reflected angles contributing to flux that might be related to the superposition of surface and bound states. We also show possible manipulation of the charge carrier density, and so of the current flux, by simply changing the magnetization intensity or the waveguide width. Our results indicate how to reassess previous current flux by changing the magnetization parameter only. © 2012 American Institute of Physics.