For several years there has been discussion on the type of electric dipole moment acquired by a magnetic dipole moving in a medium. Now it has been accepted that the relativistic formula for a magnetic dipole moving in a vacuum can also be used for the relation between the magnetic and electric moments in a medium. An additional argument in support of the above statement is that of a closed current loop moving in a vacuum, which is examined in this article. In the limit case, this loop is equivalent to a moving magnetic dipole. A comparison of the obtained results with known data for an electric dipole shows that in the case of a medium there are no reasons to change relativistic transformation formulas.