Electrosurgical instruments and systems including thermal cutting elements

An electrosurgical instrument, comprising:

• an end effector assembly, including:
• a first jaw member and a second jaw member, at least one of the first jaw member or the second jaw member movable relative to the other from a spaced-apart position to an approximated position to grasp tissue between a first opposed tissue-treating surface and a second opposed tissue-treating surface of the first jaw member and the second jaw member, the first jaw member including:
• a first thermal cutting wire portion defining a first end and extending distally along at least a portion of a length of the first opposed tissue-treating surface;
• a second thermal cutting wire portion extending about a distal tip of the first jaw member and defining a second end, the first thermal cutting wire portion and the second thermal cutting wire portion each including a ferromagnetic coating, wherein an exposed outer surface of the ferromagnetic coating has a roughness configured to facilitate attenuation during ferromagnetic heating, the roughness measured as an average peak-to-trough distance, wherein a ratio of the roughness to a skin depth of at least one of the first thermal cutting wire portion or the second thermal cutting wire portion is at least 1:3;
• and
• a third thermal cutting wire portion defining a third end, being electrically connected to the first thermal cutting wire portion and the second thermal cutting wire portion, and branching off from the first thermal cutting wire portion and the second thermal cutting wire portion, the third thermal cutting wire portion extending through an interior of the first jaw member;
• wherein each of the first end, the second end, and the third end is adapted to connect to an energy source, enabling the first and second thermal cutting wire portions to be independently activatable allowing automatic Curie temperature control to each respective portion upon supply of an AC signal thereto.