An apparatus for selectively destroying dividing cells in a target area of tissue, the dividing cells having polarizable or polar or charged intracellular members, the apparatus comprising: a first insulated electrode (230; 1210) having a first conductor and a first dielectric member that is in contact with the first conductor, the first dielectric member being for placement against the tissue to form a capacitor; a second insulated electrode (230; 1200) having a second conductor and a second dielectric member that is in contact with the second conductor, the second dielectric member being for placement against the tissue to form a capacitor; an electric field source connected to the first and second insulated electrodes (230; 1210, 1200) for applying an alternating electric potential difference across the first and second conductors, wherein passage of the electric field through the dividing cells in late anaphase or telophase transforms the electric field into a non-homogenous electric field that produces an increased density electric field in a region of a cleavage furrow of the dividing cells, wherein the electric field source comprises a generator that generates an alternating voltage waveform at frequencies between 50 kHz to 500 kHz, whereby the nonhomogeneous electric field produced within the dividing cells is of sufficient intensity to move the polarizable intracellular members towards the cleavage furrow; characterized by: the voltage waveform generated by the generator being adapted to provide an electric field intensity in the tissue to be treated of between 0.1 V/cm to 10.0 V/cm; the first and second insulated electrodes (230; 1210, 1200) each including an intervening member at a skin contact surface, each intervening member being formed of a filler material having a high conductance and a high dielectric constant; and a third conductor disposable within the tissue in close proximity to the target area and between the first and second insulated electrodes (230; 1210, 1200), the third conductor causing increased electric field density in the target area. a first insulated electrode (230; 1210) having a first conductor and a first dielectric member that is in contact with the first conductor, the first dielectric member being for placement against the tissue to form a capacitor; a second insulated electrode (230; 1200) having a second conductor and a second dielectric member that is in contact with the second conductor, the second dielectric member being for placement against the tissue to form a capacitor; an electric field source connected to the first and second insulated electrodes (230; 1210, 1200) for applying an alternating electric potential difference across the first and second conductors, wherein passage of the electric field through the dividing cells in late anaphase or telophase transforms the electric field into a non-homogenous electric field that produces an increased density electric field in a region of a cleavage furrow of the dividing cells, wherein the electric field source comprises a generator that generates an alternating voltage waveform at frequencies between 50 kHz to 500 kHz, whereby the nonhomogeneous electric field produced within the dividing cells is of sufficient intensity to move the polarizable intracellular members towards the cleavage furrow; characterized by: the voltage waveform generated by the generator being adapted to provide an electric field intensity in the tissue to be treated of between 0.1 V/cm to 10.0 V/cm; the first and second insulated electrodes (230; 1210, 1200) each including an intervening member at a skin contact surface, each intervening member being formed of a filler material having a high conductance and a high dielectric constant; and a third conductor disposable within the tissue in close proximity to the target area and between the first and second insulated electrodes (230; 1210, 1200), the third conductor causing increased electric field density in the target area. the voltage waveform generated by the generator being adapted to provide an electric field intensity in the tissue to be treated of between 0.1 V/cm to 10.0 V/cm; the first and second insulated electrodes (230; 1210, 1200) each including an intervening member at a skin contact surface, each intervening member being formed of a filler material having a high conductance and a high dielectric constant; and a third conductor disposable within the tissue in close proximity to the target area and between the first and second insulated electrodes (230; 1210, 1200), the third conductor causing increased electric field density in the target area.