Two concentric circular loops, one of radius R and the other of radius 2R, lie in...

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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, in the anti-clockwise direction and the larger loop carries current I₂ in the clock wise direction, with 1₂>21₁. 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? y R 2R 1₂ X (A) B(x, y) is perpendicular to the xy-plane at any point in the plane (B) | B(x, y) | depends on x and y only through the radial distance r = (C) | B(x, y) | is non-zero at all points for r < R (D) B(x, y) points normally outward from the xy-plane for all the points between the two loops 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, in the anti-clockwise direction and the larger loop carries current I₂ in the clock wise direction, with 1₂>21₁. 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? y R 2R 1₂ X (A) B(x, y) is perpendicular to the xy-plane at any point in the plane (B) | B(x, y) | depends on x and y only through the radial distance r = (C) | B(x, y) | is non-zero at all points for r < R (D) B(x, y) points normally outward from the xy-plane for all the points between the two loops

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