During the magnetization of a granulated material with back filling of ferromagnetic spheres, the chains of contacting granules (spheres) serve as self-sufficient conductors of the magnetic flux. Each of such chains is characterized by a pronounced redistribution of the magnetic flux along its cross section. If in the chain of spheres with radius R the conditional core with radius r is selected, and then this core is surrounded by a loop placed between the contacting spheres in order to measure magnetic flux, it has been found that an increase in r decreases the thread density (magnetic induction). The data for magnetic flux are given for a different relative radius r/R of the cores of two chains differing only in R. For this purpose, the sensors created in the form of circular circuits based on thin printed circuit boards have been used. According to recorded magnetic flux, the detailed information on magnetic induction within the cores and their magnetic permeability under the magnetization of the chains in a solenoid has been obtained. It has been shown that as the ratio r/R increases, i.e., with the thickening in the conditional cores and the corresponding increase in magnetic flux, both magnetic induction and magnetic permeability significantly reduce. The complete mutual agreement of the corresponding r/R-dependence of magnetic induction and magnetic permeability is demonstrated for both chains, what indicates the potential in applying the results obtained for the chains of spheres of other radii.