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 centre, 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 \( I_2 > 2I_1 \). \( \vec{B}(x, y) \) denotes the magnetic field at a point \( (x, y) \) in the \( xy \)-plane. Which of the following statement(s) is (are) correct?
