An aircraft turbomachine, comprising: - a gas generator having a longitudinal axis, - a fan located at an upstream end of the gas generator and configured to rotate about said axis, and - an electric machine of general annular shape which is mounted coaxially downstream of the fan, and which comprises a rotor rotatably coupled to the fan, and a stator, the fan being configured to generate a main gas flow, a portion of which flows into a primary annular duct of the gas generator to form a primary flow, and another portion of which flows around the gas generator to form a secondary flow, the primary duct being delimited by a first and a second annular envelopes (37a, 37b) coaxial with the gas generator, the primary duct being crossed by arms, referred to as IGV, for connecting the first and second envelopes, as well as by tubular arms of an inlet casing located downstream of the IGV, the gas generator comprising a third annular envelope which coaxially surrounds the second envelope, the second and third envelopes (37b, 39) being connected together at their upstream ends to form an annular splitter nose for separating the primary and secondary flows (36, 38), characterised in that the stator of the electric machine is connected to a power electronic circuit by at least one rigid electrically conductive bar, this bar comprising: - a first end portion for connecting to the electric machine, this first end portion being located within the first envelope, - a second end portion for connecting to the circuit, this second end portion being located between the second and third envelopes (37b, 39), and - an intermediate portion extending within one of the tubular arms of the inlet casing 40. - a gas generator having a longitudinal axis, - a fan located at an upstream end of the gas generator and configured to rotate about said axis, and - an electric machine of general annular shape which is mounted coaxially downstream of the fan, and which comprises a rotor rotatably coupled to the fan, and a stator, the fan being configured to generate a main gas flow, a portion of which flows into a primary annular duct of the gas generator to form a primary flow, and another portion of which flows around the gas generator to form a secondary flow, the primary duct being delimited by a first and a second annular envelopes (37a, 37b) coaxial with the gas generator, the primary duct being crossed by arms, referred to as IGV, for connecting the first and second envelopes, as well as by tubular arms of an inlet casing located downstream of the IGV, the gas generator comprising a third annular envelope which coaxially surrounds the second envelope, the second and third envelopes (37b, 39) being connected together at their upstream ends to form an annular splitter nose for separating the primary and secondary flows (36, 38), characterised in that the stator of the electric machine is connected to a power electronic circuit by at least one rigid electrically conductive bar, this bar comprising: - a first end portion for connecting to the electric machine, this first end portion being located within the first envelope, - a second end portion for connecting to the circuit, this second end portion being located between the second and third envelopes (37b, 39), and - an intermediate portion extending within one of the tubular arms of the inlet casing 40. the fan being configured to generate a main gas flow, a portion of which flows into a primary annular duct of the gas generator to form a primary flow, and another portion of which flows around the gas generator to form a secondary flow, the primary duct being delimited by a first and a second annular envelopes (37a, 37b) coaxial with the gas generator, the primary duct being crossed by arms, referred to as IGV, for connecting the first and second envelopes, as well as by tubular arms of an inlet casing located downstream of the IGV, the gas generator comprising a third annular envelope which coaxially surrounds the second envelope, the second and third envelopes (37b, 39) being connected together at their upstream ends to form an annular splitter nose for separating the primary and secondary flows (36, 38), characterised in that the stator of the electric machine is connected to a power electronic circuit by at least one rigid electrically conductive bar, this bar comprising: - a first end portion for connecting to the electric machine, this first end portion being located within the first envelope, - a second end portion for connecting to the circuit, this second end portion being located between the second and third envelopes (37b, 39), and - an intermediate portion extending within one of the tubular arms of the inlet casing 40. - a first end portion for connecting to the electric machine, this first end portion being located within the first envelope, - a second end portion for connecting to the circuit, this second end portion being located between the second and third envelopes (37b, 39), and - an intermediate portion extending within one of the tubular arms of the inlet casing 40.