An electrosurgical apparatus performs a cut or incision on epithelial tissue of the body of a human or animal patient. The apparatus includes a generator system configured to generate a radio-frequency electric signal, and a hand piece held by an operator and having an end provided with a single active electrode electrically connected to the generator system. The electric signal generates a cut or an incision when the active electrode comes into contact with epithelial tissue of the body. The electric signal has a power ranging from 0.5-W-20 W and a frequency ranging from 40 kHz-90 kHz. The energy emitted by the signal is transferred from the active electrode to the tissue of the body through capacitive coupling. The tissue is cut at a peripheral temperature ranging from 45° C.-60° C. The electric circuit is closed to ground through a capacitive effect, as the apparatus does not use a return plate.
