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

Physics · JEE Advanced · NTA ExamsMagnetic Effects of Current and Magnetism

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
I1 in the anti-clockwise direction
and the larger loop carries current I2 in the clockwise direction, with I2 > 2I1. denotes the magnetic field at a point (x, y) in the xy-plane. Which of the following statement(s) is(are) correct?
  1. is perpendicular to the xy-plane at any point in the plane.
  2. depends on x and y only through the radial distance .
  3. is non-zero at all points for r < R.
  4. points normally outward from the
    xy-plane for all the points between the two loops.

Answer

(A) is perpendicular to the xy -plane at any point in the plane.

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