Question

Explain why don't the magnetic field lines intersect each other ?

Answer 1

Generally speaking, a magnetic field, similar to electric field, just signifies the direction and magnitude of the field at a specific point in space-time. A magnetic field line can be crudely understood as a curve whose tangent at any point gives us the direction of the magnetic field at that point in space. Let's say two of the lines intersect. This means that at that point, there are two possible directions for the magnetic field to point towards, but this is contradictory to logic because, a field can't point to two directions at the same time. This leads to the conclusion that, the point must have zero magnitude of field, I. e. no field is present at that point alone. But this is untrue, because magnetic field will exist around a magnetic source infinitely, while tending to zero while approaching infinity. So, two field lines cannot cross each other.