Electric vehicle range extending apparatus includes a step-down voltage provision unit, cell voltage sensing unit, cell switching unit, and control unit. The step-down voltage provision unit has an input port to be coupled to the main battery pack or an auxiliary battery pack, and an output port to output a power balancing signal. The cell voltage sensing unit is for being coupled to the battery cells and sensing individual voltages of the battery cells. The cell switching unit, including a plurality of switches, is coupled to the battery cells respectively, and coupled to the output port. The control unit, coupled to the cell voltage sensing unit, step-down voltage provision unit, and cell switching unit, is for controlling the cell switching unit based on the individual voltages of the battery cells so as to apply the power balancing signal to at least one of the battery cells selectively.