Question
Why don’t two magnetic field lines intersect each other?

Answer

  • The direction of the magnetic field $B$ at a point is obtained by drawing a tangent to the magnetic field line at that point.
  • If two magnetic field lines intersect each other, it would mean that there are two directions of the magnetic field at the point of intersection, which is not possible because magnetic field is a vector, at a given point in space, it can have only one direction.
  • (or the resultant force on a pole (north/south) at any point can only be in one direction.)

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