A disconnecting module of a power supply line adapted to have the lowest possible resistance so as to obtain as little heat dissipation by Joule effect as possible, comprising: - a tight contact casing comprising at least a first fixed-contact conductive element to establish the electrical connection with a current input and a second fixed-contact conductive element to establish the electrical connection with a current output, said fixed-contact elements being electrically connected on the outside of the casing by two connection terminals (16, 18) respectively, and at least one mobile-contact conductive element (20 or 36) adapted to come in contact simultaneously on said first and second fixed-contact elements under the action of an actuating mechanism, said mechanism being actuated so as to interrupt the contact between said fixed-contact elements and said mobile-contact element with the aim of disconnecting said supply line, - at least a first metal connection bar adapted to be connected to a current input and at least a second connection bar adapted to be connected to a current output, and - a first intermediate conductive element connected firstly to said first connection bar and secondly to said first fixed conductive element and a second intermediate conductive element connected firstly to said second connection bar and secondly to said second fixed conductive element; said module being characterised in that: - said electrical supply line supplies a current of an intensity higher than 1000 A, - at least one of said fixed-contact elements (12, 14) or one of said mobile-contact elements (20 or 26) comprises a silver pellet placed on the surface of said element, allowing the contact resistance between the mobile-contact element and the fixed-contact element to be reduced by half, - at least one of said fixed-contact elements (12 or 14) comprises a lower layer made of aluminium, an upper layer made of copper having a silver coating and an intermediate layer of foam comprising a metal foam skeleton selected from the group consisting of iron, cobalt, nickel and alloys thereof coated with at least a coating of tin, indium or one of their alloys. - a tight contact casing comprising at least a first fixed-contact conductive element to establish the electrical connection with a current input and a second fixed-contact conductive element to establish the electrical connection with a current output, said fixed-contact elements being electrically connected on the outside of the casing by two connection terminals (16, 18) respectively, and at least one mobile-contact conductive element (20 or 36) adapted to come in contact simultaneously on said first and second fixed-contact elements under the action of an actuating mechanism, said mechanism being actuated so as to interrupt the contact between said fixed-contact elements and said mobile-contact element with the aim of disconnecting said supply line, - at least a first metal connection bar adapted to be connected to a current input and at least a second connection bar adapted to be connected to a current output, and - a first intermediate conductive element connected firstly to said first connection bar and secondly to said first fixed conductive element and a second intermediate conductive element connected firstly to said second connection bar and secondly to said second fixed conductive element; - said electrical supply line supplies a current of an intensity higher than 1000 A, - at least one of said fixed-contact elements (12, 14) or one of said mobile-contact elements (20 or 26) comprises a silver pellet placed on the surface of said element, allowing the contact resistance between the mobile-contact element and the fixed-contact element to be reduced by half, - at least one of said fixed-contact elements (12 or 14) comprises a lower layer made of aluminium, an upper layer made of copper having a silver coating and an intermediate layer of foam comprising a metal foam skeleton selected from the group consisting of iron, cobalt, nickel and alloys thereof coated with at least a coating of tin, indium or one of their alloys.