Question

why two fild lines never cross each other ?​

Answer 1

Answer:

Electric lines of force never intersect each other because, at the point of intersection, two tangents can be drawn to the two lines of force. This means two directions of the electric field at the point of intersection, which is not possible.

Answer 2

Answer:

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No, it is not possible for two electric field lines to cross or touch. The electric field cannot be tangent to two electric field lines at the location where they cross since the electric field would not be unique at that point.