  A wire that conducts an electric current will give rise to circular magnetic
field (the \O{}rsted magnetic field), which can be calculated using the
Maxwell-Ampere equation. For wires with diameters in the macroscopic scale, the
Maxwell-Ampere equation is an established physical law that has can reproduce a
range of experimental observations. A key implication of this equation is that
the induction of \O{}rsted magnetic field is only a result of the displacement
of charge. A possible microscopic origin of \O{}rsted magnetic induction was
suggested in [J. Mag. Mag. Mat. 504, 166660 (2020)] (will be called the current
magnetization hypothesis (CMH) thereupon). The present work establishes
computationally, using simplified wire models, that the CMH reproduces the
results of the Maxwell-Ampere equation for wires with a square cross section. I
demonstrate that CMH could resolve the apparent contradiction between the
observed induced magnetic field and that predicted by the Maxwell-Ampere
equation in nanowires, as was reported in [Phys. Rev. B 99, 014436 (2019)]. The
CMH shows that a possible reason for such contradiction is the presence of
non-conductive surface layers in conductors.
