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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 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 statements is/are correct?
  • a)
    (x, y) is perpendicular to the xy-plane at any point in the plane.
  • b)
    |(x, y)| depends on x and y only through the radial distance r =
  • c)
    |(x, y)| is non-zero at all points for r < R.
  • d)
    (x, y) points normally outward from the xy-plane for all the points between the two loops.
Correct answer is option 'A,B'. Can you explain this answer?
Most Upvoted Answer
Two concentric circular loops, one of radius R and the other of radius...
Consider a circular loop of radius r in the xy-plane and having centre at the origin.

For given r,
⇒ cosθ = 0
θ = 90°

Here, dℓ is in the xy-plane. ⇒ B is normal to plane (B can't be in the xy-plane as its magnetic lines would have been in radial direction)
Also, for given r, B must be same in magnitude for all points on loop of radius r.


For point P, let the field of inner loop increase x1 times and that of outer loop increase x2 times.
⇒ Magnetic field at P,

∵ B changes more rapidly as point P comes closer to circumference.
⇒ x1 > x2
OR i2 > 2i1 (which is the given condition)
So, there are points inside inner loop where magnetic field will be zero.
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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 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 statements is/are correct?a)(x, y) is perpendicular to the xy-plane at any point in the plane.b)|(x, y)| depends on x and y only through the radial distance r = c)|(x, y)| is non-zero at all points for r < R.d)(x, y) points normally outward from the xy-plane for all the points between the two loops.Correct answer is option 'A,B'. Can you explain this answer?
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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 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 statements is/are correct?a)(x, y) is perpendicular to the xy-plane at any point in the plane.b)|(x, y)| depends on x and y only through the radial distance r = c)|(x, y)| is non-zero at all points for r < R.d)(x, y) points normally outward from the xy-plane for all the points between the two loops.Correct answer is option 'A,B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 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 statements is/are correct?a)(x, y) is perpendicular to the xy-plane at any point in the plane.b)|(x, y)| depends on x and y only through the radial distance r = c)|(x, y)| is non-zero at all points for r < R.d)(x, y) points normally outward from the xy-plane for all the points between the two loops.Correct answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 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 statements is/are correct?a)(x, y) is perpendicular to the xy-plane at any point in the plane.b)|(x, y)| depends on x and y only through the radial distance r = c)|(x, y)| is non-zero at all points for r < R.d)(x, y) points normally outward from the xy-plane for all the points between the two loops.Correct answer is option 'A,B'. Can you explain this answer?.
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