Abstract: The object of the invention is to produce equipotential connections that are electrically efficient in terms of resistivity between portions of a current-return network in a non-conductive architecture, such as an airplane fuselage. The approach adopted by the invention is to impart an equipotential-bonding function to an aluminum cable having a large cross section, said bond being electrically connected, via direct contact, to as many devices as is physically possible to connect thereby. According to one embodiment, an electrical connection assembly of an aircraft fuselage (100) having a composite skin comprises in-line shunt connections (2) for electrically interconnecting an aluminum-alloy-based cable (1) of large cross section acting as an equipotential connection to brackets (113, 141) for primary current-return networks and to brackets (111) for electrical devices via connectors (202).