Lorentz Force calculation

I want to simulate the displacement of an current-carrying wire due to an external magnetic field, due to the Lorentz Force: vect{F} = I(current) * vect{l(legth)} x vect{B}.

The geometry is 3D.

I'm using 3 physics:
- ELECTRIC CURRENTS: I apply a Voltage across the wire and I get the flowing Current Density: ec.Jx, ec.Jy and ec.Jz.
- MAGNETIC FIELDS: I apply the calculated Current Density (ec.Jx, ec.Jy, ec.Jz) "into" the wire (as External Current Density) and I superpose an external Magnetic Field (I apply a Magnetic Field to an external air domain surrounding the wire). I get the Lorentz Force contribution: mf.FLtzx, mf.FLtzy and mf.FLtzz.
- SOLID MECHANICS: I apply the calculated Lorentz Force contribution (mf.FLtzx, mf.FLtzy, mf.FLtzz) as a Body Load to the wire and I get the deformation.

Here's the problem:
If I simulate everything all together, the simulation does NOT converge.
If i simulate each physics independently, I get some results. I mean: I simulate EC (and nothing else) and I get numerical values of the Current Density; then I disable EC, I enable MF, I enter manually the obtained numerical values and I simulate. I get MF results, I enter them manually into SOLID and I simulate. In this way, I can get the deformation.

Any idea why this happen?
Any suggestion to improve my model?