An uncharged, isolated metallic rod is supported by an insulating stand. A positively charged sphere carrying charge \(+Q\) is brought near the left end of the rod without touching it, causing charge separation within the rod. While the positively charged sphere remains in place, a conducting wire briefly connects the right end of the rod to the ground and is then removed. Finally, the positively charged sphere is moved far away. Which of the following statements correctly describes the net charge on the rod after the sphere is removed and provides the correct physical explanation?