The conductor cuts the magnetic induction line in a uniform magnetic field. Taking the conductor as the reference system, the magnetic field moves in the opposite direction. Will the magnetic field change? Is there a vortex electric field? This problem involves some basic concepts in electromagnetism and needs some basic formulas and theorems. Here is a simple solution. Taking the conductor as the reference system, the magnetic field moves in the opposite direction, which can be regarded as the change of the magnetic field.

According to Maxwell's electromagnetic field theory, when the magnetic field changes, a vortex electric field will be generated. Therefore, in this case, the charge in the conductor will be affected by the eddy current electric field force.

For uneven magnetic field, it can also be judged according to Maxwell's electromagnetic field theory. If the magnetic field changes in space, it will also produce eddy current electric field. Therefore, in this case, the charge in the conductor will also be affected by the eddy current electric field force.

It should be noted that in practical situations, the change of magnetic field is often not a simple uniform or non-uniform magnetic field, but a complex spatial change. Therefore, it needs to be analyzed and calculated according to the specific situation.