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Why can't two magnetic field lines cross...

Why can't two magnetic field lines cross each other? Draw the magnetic field lines (including field directions) of the magnetic field due to a long straight solenoid. What important property of this field is indicated by this field line pattern? Name any two factors on which the magnitude of the magnetic field due to this solenoid depends.

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If two magnetic field lines will cross each other, then there will be two directions of magnetic field at the point of crossing, which is not possible in a magnetic field. The field around a solenoid is like that of a bar magnet.
Two factors are: (a) Number of turns in the solenoid. (b) It depends on the magnitude of the current passing through the solenoid.
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