The magnetic force acting on the ore particles in the magnetic field can be deduced and derived in the following manner.    Then the work done by the magnetic force △ A is:    More magnetic than F magnetic means that the magnetic field acts on
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Modern electromagnetic theory holds that the magnetic moment of a molecule in an object is generated by a molecular current, and the magnetic moment of the object is the vector sum of the molecular magnetic moment (or atomic magnetic moment). After the magnetic ore particles are magnetized in the magnetic field, the effect can be expressed by an equivalent elemental current, which is considered equivalent to the effect of a small current-carrying coil in the magnetic field. Therefore, the magnetic force of the magnetic ore particles moving in a non-uniform magnetic field is equivalent to the magnetic force of a small current-carrying coil. Therefore, the magnetic force of the current-carrying coil when it moves in a non-uniform magnetic field can be studied first, and then it can be extended to magnetic ore particles.
When a current carrying coil moving in a magnetic field, if the intensity of the current in the coils is constant, then the magnetic force of the work done â–³ A constant equal to the current intensity in the coil and I is the product of the magnetic flux of coil increments (â–³ Ñ„) by, which is:
          △ A = I△ ф ( 4-13 )
If the area enclosed by this coil is S , it moves a small distance Δ l in the inhomogeneous magnetic field, the magnetic field strength of the coil before moving is H , and the magnetic field strength after moving is H + △H , as shown below. Shown. 
                                     △ A = I△ ф = I [ S ( H + △H ) —SH 〕= IS△H ( 4-14 )
Where IS is the magnetic moment of the coil, denoted by M , so:
△A = M·△H                          ( 4-15 )[next]
It should be noted that the derivation of the specific magnetic force is based on the assumption that the size of the ore particle is small and the magnetic field gradient value gradH is equal to a constant.
