  It is shown that external magnetic field or magnetization induces electric
polarization of microscopic isolated magnetic/non-magnetic hybrid structures
due to the spin-dependent electron redistribution and mutual capacity. The
magnetoelectric effect can be very strong, for instance the change of electric
polarization reaches $100$ $\mu C/m^{2}$ at a constant magnetic field of only
$1.5$ Tesla in the case of $100$ $\div$ $10$ nanometer structures which tightly
fill the space, composing a metamaterial. The effect does not require using
exotic compounds. Based on the obtained results we suggest a number of
recommendations for future experimental design.
