Is electric and magnetic field are two different forces acting simultaneously?
Okay, so yes they are two forces, but at the same time they are dependent on one another. A magnetic field is constant, if the electric field has a constant change. So in other words, if the derivative of the electric field is constant, then so is the magnetic field. The field created by a bar magnet is due to very special properties of ferromagnetic materials. One way to think about it is that the electrons in the material are always moving, and moving in a very specifically oriented fashion so that all their magnetic moments point in the same direction. Also, if you take a bar magnetic, stick it through the center of a solenoid and move it back and forth, you can induce current the wire due to the magnetic force on the electrons in the material.