The steady state of a perfect conductive fluid in laminar flow resulting from the ‘Hall effect’ is
studied. Using the Maxwell equations, the spatial variation of the magnetic field in the steady
state is calculated for three cases of different fluid flow geometries: flow between two infinite
parallel planes, flow between two coaxial infinite-long cylinders and flow between two concentric
spheres. According to our calculation of the three cases, the spatial variation of the magnetic
field depends on the flow velocity. The magnetic field is strengthened in layers where the velocity
is greater, but this dependency is negligible for non relativistic flows. Our approach in this study
provides an example of how to receive interesting results using only basic knowledge of physics and
mathematics.