A plasma-generating device comprising an anode, a plurality of intermediate electrodes, an insulator sleeve, and a cathode is disclosed. The plurality of the intermediate electrodes and the anode form a plasma channel. One of the intermediate electrodes forms a plasma chamber. The cathode has a tapering portion that projects downstream the distal end of the insulator sleeve only partially. Also, the distal-most point of the cathode is located some distance away from the plasma channel inlet. Methods of surgical use of the plasma-generating device are also disclosed.