  Measurement of gravitomagnetic field is of fundamental importance as a test
of general relativity. Here we present a new theoretical project for performing
such a measurement based on detection of the electric field arising from the
interplay between the gravitomagnetic and magnetic fields in the stationary
axial-symmetric gravitational field of a slowly rotating massive body. Finally
it is shown that precise magnetometers based on superconducting quantum
interferometers could not be designed for measurement of the
gravitomagnetically induced magnetic field in the cavity of a charged capacitor
since they measure the circulation of a vector potential of electromagnetic
field, i.e., an invariant quantity including the sum of electric and magnetic
fields, and the general-relativistic magnetic part will be totally cancelled by
the electric one which is in good agreement with the experimental results.
