Here is a picture of a situation I thought of: The circles between the magnets indicate a wire with current flowing in the direction given. This picture is a cross section of a loop of wire, looking down. Not included in this picture is the battery and non-conductive connecting materials linking the magnets and wire together. Since the current in the wire goes through a magnetic field, it should experience a force in the direction given by the right hand rule. If the magnets and wire are held together, then it seems that the entire system should accelerate as long as the current keeps on flowing. This seems like a bizarre conclusion, but I can't think of any way to disprove this conclusion.