What does a higher degree of closeness of magnetic field lines indicate?
Stronger magnetic field at that region
Magnetic field lines are a way of visualising the direction and strength of a magnetic field around a magnet or a current-carrying conductor. The density of the lines, that is, how many lines pass through a unit area drawn perpendicular to them, represents the magnitude of the magnetic field at that point.
Where the lines are packed closely together, the field is intense; where they spread apart, the field is weak. This is why the region just outside the poles of a bar magnet, where the lines crowd in, corresponds to the strongest magnetic field, while the region far from the magnet has widely spaced lines and a weak field.
Hence, a higher degree of closeness of magnetic field lines indicates a stronger magnetic field at that region.
Magnetic field lines never cross each other, because at a point of crossing the field would have two directions at once, which is not possible. Closeness of lines does not signal weaker field; the opposite is true. And the presence of an electric field is shown by electric field lines (linked to charges), not magnetic ones.
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