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Why cannot two magnetic lines of forces due to a bar magnet cross each other?

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Why cannot two magnetic lines of forces due to a bar magnet cross each other?

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Because if they cross at any point (say P), there would be two tangents at point P and hence two directions of magnetic fields at the same point as shown in the figure, but magnetic field has only one direction.

two magnetic lines of forces due to a bar magnet cross each other

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