Detailed magnetic field of a wire between two opposing magnetic poles

In order to find the detailed magnetic field of a wire between two opposing magnetic poles, you have to use Fleming's left-hand rule. The thumb can then provide you with the direction of force on the wire, as can be seen below in the three diagrams.

Gives

Now you know the direction of the force on the wire, imagine a catapult with bunched up elastic bands ready to shoot in the direction of the force. This will remind you that magnetic force lines are bunched behind the wire.

In fact the overall detail will look like the following:

If the magnets were turned around we would have the following three diagrams.

Gives

This will mean that the magnets' field line will be more bunched below the wire and will try to sling the wire in the direction of force.

Finally we can use these ideas when the current in the wire travels towards you rather than away from your view.

This gives you a detailed magnetic field as follows:

With the current in the wire traveling towards you but with the magnets reversed, we get the following:

This gives you a detailed magnetic field as follows: