The electromagnetic properties of the toroidal solenoid with an alternate current are discussed. The multipole expansion for the electromagnetic field of the toroidal solenoid is obtained and the explicit expressions for the toroidal form factors and moments are given. Concrete realization of the current flowing in the solenoid`s winding is presented. It is shown that the uniform rotation of the toroidal solenoid with a constant current in its winding leads to the appearance of the magnetic field outside the solenoid. 29 refs.; 3 figs.