Can the use of Permalloy to make the core of the electromagnet significantly increase the suction force?

    The attractive force F of a magnet is the product of the magnetic field magnetic induction intensity gradient deltaB and the magnetic moment m, F=deltaB*m.
    The purpose of adding an iron core to the solenoid coil is to make the magnetic field generated by the solenoid magnetize the magnetic material of the iron core to increase its magnetic moment. The magnetic moment of the spiral is m1=NIS, and the magnetic moment of the iron coreis the volume component of its magnetic field intensity M, m2=MV, and the magnetic field intensity M of the magnetic material is the magnetic field intensity H of the solenoid multiplied by the magnetic permeability u of the magnetic material, and the magnetic permeability is the product of the relative magnetic permeability u0 of the vacuum and the relative magnetic permeability ur of the magnetic material (i.e. u=u0*ur). Finally, F=(m1+m2)*deltaB=(NIS+Mv)*deltaB=(NIS+uo*ur*H*v)*deltaB. The relative magnetic permeability ur of Permalloy is indeed very high. If the current in the solenoid is very small, that is, the magnetic field intensity H generated by the solenoid is very small and has not yet reached the saturation of Permalloy, its suction force will indeed increase; however, the saturation magnetic induction intensity of Permalloy is low, and the magnetic field generated by the solenoid reaches 7000A/m, which can basically magnetize it to saturation, and its suction force will not continue to increase at this time.
    Therefore, your answer is not necessarily. When the current of the solenoid is small and has not yet saturated the magnetic core, its attraction can be increased; but if the current is large and saturates it, a magnetic material with high saturation magnetic induction intensity and high relative magnetic permeability should be selected.