There are two current carrying wires A and B both with same current (i) in same direction (outwards) , the rough representation of magnetic field lines looks like the diagram. O is the mid point of AB. I want to know what the field lines look like near to the point O
$O$ is a neutral point a point where the magnetic field is zero.
The magnetic field around the neutral point is small compared with the magnetic field near the wires so the density if magnetic field lines would be smaller than around the wires.
So as a sketch, something like this?
