Provided is rolled supercapacitor comprising an anode, a cathode, a porous separator, and an electrolyte, wherein the anode contains a wound anode roll of an anode active material having an anode roll length, an anode roll width, and an anode roll thickness, wherein the anode active material contains isolated graphene sheets that are oriented substantially parallel to the plane defined by the anode roll length and the anode roll width; and/or the cathode contains a wound cathode roll of a cathode active material having a cathode roll length, a cathode roll width, and a cathode roll thickness, wherein the cathode active material contains isolated graphene sheets that are oriented substantially parallel to the plane defined by the cathode roll length and the cathode roll width; and wherein the anode roll width and/or the cathode roll width is substantially perpendicular to the separator.