An electrosurgical instrument (10, 210), comprising: an end effector assembly (100, 100', 2000, 2100) including first and second jaw members (110, 120, 110', 120', 2010, 2020, 2110, 2120), at least one of the first or second jaw members movable relative to the other from a spaced-apart position to an approximated position to grasp tissue between first and second opposed surfaces of the first and second jaw members, respectively, the first jaw member (120, 2020, 2120) including: a thermal cutting wire (430, 530, 630, 730, 830, 2030, 2130a) including a first portion (2035a, 2135a) extending distally along at least a portion of a length of the first opposed surface (2024, 2124), wherein the thermal cutting wire further comprises: a second portion (2036, 2136) extending from the first portion about a distal tip of the first jaw member; and a third portion (2035b, 2135b) extending from the second portion proximally at least one of through the first jaw member or along an outer exterior surface of the first jaw member, characterized in that: the first and second portions (2035a, 2135a, 2035b, 2135b) of the thermal cutting wire (430, 530, 630, 730, 830, 2030, 2130a) each include a ferromagnetic coating such that the first and second portions are ferromagnetically heated and provide automatic Curie temperature control upon supply of an AC signal thereto; and the electrosurgical instrument further comprises a branch wire branching off from the thermal cutting wire between the first portion and the second portion and extending proximally at least one of through the first jaw member or along an outer exterior surface of the first jaw member to enable independent activation of the first and second portions. an end effector assembly (100, 100', 2000, 2100) including first and second jaw members (110, 120, 110', 120', 2010, 2020, 2110, 2120), at least one of the first or second jaw members movable relative to the other from a spaced-apart position to an approximated position to grasp tissue between first and second opposed surfaces of the first and second jaw members, respectively, the first jaw member (120, 2020, 2120) including: a thermal cutting wire (430, 530, 630, 730, 830, 2030, 2130a) including a first portion (2035a, 2135a) extending distally along at least a portion of a length of the first opposed surface (2024, 2124), wherein the thermal cutting wire further comprises: a second portion (2036, 2136) extending from the first portion about a distal tip of the first jaw member; and a third portion (2035b, 2135b) extending from the second portion proximally at least one of through the first jaw member or along an outer exterior surface of the first jaw member, a second portion (2036, 2136) extending from the first portion about a distal tip of the first jaw member; and a third portion (2035b, 2135b) extending from the second portion proximally at least one of through the first jaw member or along an outer exterior surface of the first jaw member, characterized in that: the first and second portions (2035a, 2135a, 2035b, 2135b) of the thermal cutting wire (430, 530, 630, 730, 830, 2030, 2130a) each include a ferromagnetic coating such that the first and second portions are ferromagnetically heated and provide automatic Curie temperature control upon supply of an AC signal thereto; and the electrosurgical instrument further comprises a branch wire branching off from the thermal cutting wire between the first portion and the second portion and extending proximally at least one of through the first jaw member or along an outer exterior surface of the first jaw member to enable independent activation of the first and second portions. the first and second portions (2035a, 2135a, 2035b, 2135b) of the thermal cutting wire (430, 530, 630, 730, 830, 2030, 2130a) each include a ferromagnetic coating such that the first and second portions are ferromagnetically heated and provide automatic Curie temperature control upon supply of an AC signal thereto; and the electrosurgical instrument further comprises a branch wire branching off from the thermal cutting wire between the first portion and the second portion and extending proximally at least one of through the first jaw member or along an outer exterior surface of the first jaw member to enable independent activation of the first and second portions.