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Two parallel conducting rings, both of radius R, are separated by a distance R. The planes of the rings are perpendicular to the line joining their centres, which is taken to be the x-axis.

If both the rings carry the same current i along the same direction, the magnitude of the magnetic field along the x- axis is best represented by
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two parallel conducting rings, both of radius R, are separated by a di...
The magnetic field B produced by a ring at any point on the axial line is defined by Ampere's circuital law as: where:
  • μ0 is the permeability of free space,
  • i is the current flowing through the wire,
  • r is the radius of the circular wire,
  • z is the position of a point on the axis from the center of the coil.
Explanation:
  • Since there are two rings here, and they both have the same current in the same direction, they will each produce a magnetic field that combines at points along the x-axis.
  • Notice that the magnetic field produced by each ring along the x-axis is symmetrical with respect to the x-axis, and they will combine constructively.
  • The total magnetic field would be twice the magnetic field produced by one of the rings because of the constructive superposition.
  • When the distance between rings is R,which leads to a uniform magnetic field at the center region. At this condition, magnetic fields at the planes of the coil are a little bit smaller than that at the center. So, Option 1 is an approximate diagram.
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Two parallel conducting rings, both of radius R, are separated by a distance R. The planes of the rings are perpendicular to the line joining their centres, which is taken to be the x-axis.If both the rings carry the same current i along the same direction, the magnitude of the magnetic field along the x- axis is best represented bya)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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