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Magnetic Force on an armature

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Hello

I'm dealing with a very simple problem that has been very frustrating for me! I would appreciate if any one can assist me with that.

I'm modeling an E-shaped core in 2D magnetic field module. It has a flat rectangular armature that is to be attracted by the magnetic force produced by the coil. I attached the schematics.

I've faced some problems and have some questions regarding that.

First, for very small values of air gap which is the distance between the armature and the core, I expect a very large force. However, that's not what I received from my simulations. The force is very small in the beginning. After a threshold, it jumps up to a high value and follows the expected profile afterwards. I believe there is some setting that I need to apply for small air gaps that I'm missing. I attached the force profile.

Second, I need to see the movement of the armature under the effect of an external force detaching it from the core. Can I do it by just adding the structural mechanics module and a body load? Also, how can I model the contact between the core and the armature as they are supposed to be touching each other in the beginning.

Third, how can I read the inductance of my system. I cannot find any option to select after adding .

And finally, I need to connect the coil to an electric circuit. The problem is that this coil is constituted by two rectangles in 2D which are in deed connected on two ends of the actual paradigm. How can I connect such thing to a circuit as an inductor?

I appreciate any help in advance.

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