Two uncharged, metal spheres, \(A\) and \(B\), sit on insulating stands in contact with each other, where sphere \(A\) has a radius twice that of sphere \(B\) (\(R_A = 2R_B\)). A positively charged rod is brought near sphere \(A\) without touching it. While the rod is held in place, sphere \(B\) is moved away to separate the conductors, and then the rod is removed. Which of the following correctly identifies the signs of the final net charges on the spheres and compares their magnitudes?