The motion of sphere in a uncompressible fluid of finite conductivity
in a external magnetic field is considered for small magnetic Reynolds
number and small Stuart number. It is investigated phenomena involved
in motion at high hydrodynamic Reynolds number, which require allow
viscosity of the fluid. Formulation of hydrodynamic problem includes
equations of boundary layer for axisimmetric body with boundary and
infinity conditions. Formulation of electrodynamics problem includes
Puasson equation with boundary and infinity conditions. Magnetic fields are
calculated according to Bio Savar law. Results of calculations showed, that
the distribution of fields depends from conductivity of the body and the
fluid.
For checking of this result experimental investigations were executed with
using the seawater and mercury ring reservoirs. Spheres from glass and copper
are used for experiments. On sphere surface were mounted point platinum
electrodes, isolated for copper body from surface. Results of experiment
showed complicated dependence of fields from the surfaces processes although
in toto are agreed with theory.