Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as their common center, as shown in the figure. The smaller loop carries current $$I_1$$ in the anti-clockwise direction and the larger loop carries current $$I_2$$ in the clockwise direction, with $$I_2 > 2I_1. \overrightarrow{B}(x, y)$$ denotes the magnetic field at a point (x, y) in the xy-plane. Which of the following statement(s) is(are) correct?