The magnetic field of the magnet is weaker at a greater distance from the magnet’s pole. At a greater distance than 'd', we could say that the strength of the magnetic field is practically zero. The weakening of the strength is symbolically represented by the different shades of gray.

The weakening is also symbolically represented by the red and the blue triangle in the figure (b). If the two identical magnets are brought at the distance ‘d’ (or lesser than ‘d’) without allowing them to come together, then in the interspace between them there is a homogeneous magnetic field because the two fields complement each other. This means that the strength of the magnetic field is the same in every point of the interspace (figure c).

The magnetic field is homogeneous in terms of strength, but it is not homogeneous in terms of polarity. The Plus and the Minus retain their character just as before the bringing of the magnets close to each other.

So, the Fleming’s left hand rule is valid only in one particular case, that is, when the conductor is placed exactly in the middle between the magnets. When a rule is valid only in one particular case, then it can be no rule at all. Therefore the Fleming’s left hand rule should go to the trash heap of the history.

Consider also whether this formula about the so-called Lorentz force is true:

F = qE + qv x B

The weakening is also symbolically represented by the red and the blue triangle in the figure (b). If the two identical magnets are brought at the distance ‘d’ (or lesser than ‘d’) without allowing them to come together, then in the interspace between them there is a homogeneous magnetic field because the two fields complement each other. This means that the strength of the magnetic field is the same in every point of the interspace (figure c).

The magnetic field is homogeneous in terms of strength, but it is not homogeneous in terms of polarity. The Plus and the Minus retain their character just as before the bringing of the magnets close to each other.

So, the Fleming’s left hand rule is valid only in one particular case, that is, when the conductor is placed exactly in the middle between the magnets. When a rule is valid only in one particular case, then it can be no rule at all. Therefore the Fleming’s left hand rule should go to the trash heap of the history.

Consider also whether this formula about the so-called Lorentz force is true:

F = qE + qv x B