An electrosurgical instrument includes a body portion, an actuator, a first jaw having a first electrode and a second jaw. The first electrode has a relatively large area seal surface with a relatively small edge portion and a third electrode, and the second jaw has a second electrode having a relatively large area seal surface and a smaller edge portion. The actuator moves the jaws between an first, open position, a second position for grasping tissue, and a third position where the jaws are further closed such that the first and second seal surfaces are adjacent each other and only the edge portions are exposed. An electrosurgical generator is connected to deliver a coagulation RF waveform between the first and second jaws when in the second position, and to deliver a cutting RF waveform between one or both of the first and second electrodes and the third electrode when the jaw members are in the third position.