The present invention relates to an electromagnetically-countered system including at least one wave source irradiating harmful electromagnetic waves and at least one counter unit emitting counter electromagnetic waves which are capable of countering the harmful waves by such counter waves. More particularly, the present invention relates to generic counter units of various electromagnetically-countered transformer systems and to various mechanisms for countering the harmful waves by the counter units by, e.g., matching configurations of such counter units with those of the wave sources, matching shapes of the counter waves with shapes of the harmful waves, and the like. The present invention also relates to various methods of countering the harmful waves with the counter waves by such source matching or wave matching and various methods of providing such counter units as well as emitting the counter waves. The present invention also relates to various processes for providing such systems and their counter units. The present invention further relates to various electric and/or magnetic shields which may be used alone and/or in combination with such counter units to minimize irradiation of the harmful waves from the system.