Inductive power receiving apparatus (150; 160; 450; 950) for use with a portable electrical device (100; 900) to enable the device to receive power wirelessly by electromagnetic induction, the apparatus comprising: an inductive power-receiving element (200; 700; 800; 952) adapted to be attached to the device, and also being adapted to receive power wirelessly by electromagnetic induction from a transmitter of power when the element and transmitter are in proximity with one another; and one or more power connectors (203; 213; 958; 1002) which, when the apparatus is in use, are connected electrically to the power-receiving element and are adapted to be connected to one or more corresponding power connectors (101; 111a, b; 908; 906) of the portable electrical device to deliver power received by the element to the device, wherein said portable electrical device has first connector means (111a, b) adapted to connect to corresponding second connector means of equipment, said first connector means providing said one or more corresponding power connectors of the portable electrical device, and the apparatus further comprising: third connector means (215a, b) adapted to connect to said first connector means of the portable electrical device, said third connector means providing said one or more power connectors of the apparatus; fourth connector means (217a, b) adapted to connect to said second connector means of said equipment; and a pass-through connection arrangement interconnecting at least one connector of said third connector means and a corresponding connector of said fourth connector means. an inductive power-receiving element (200; 700; 800; 952) adapted to be attached to the device, and also being adapted to receive power wirelessly by electromagnetic induction from a transmitter of power when the element and transmitter are in proximity with one another; and one or more power connectors (203; 213; 958; 1002) which, when the apparatus is in use, are connected electrically to the power-receiving element and are adapted to be connected to one or more corresponding power connectors (101; 111a, b; 908; 906) of the portable electrical device to deliver power received by the element to the device, wherein said portable electrical device has first connector means (111a, b) adapted to connect to corresponding second connector means of equipment, said first connector means providing said one or more corresponding power connectors of the portable electrical device, and the apparatus further comprising: third connector means (215a, b) adapted to connect to said first connector means of the portable electrical device, said third connector means providing said one or more power connectors of the apparatus; fourth connector means (217a, b) adapted to connect to said second connector means of said equipment; and a pass-through connection arrangement interconnecting at least one connector of said third connector means and a corresponding connector of said fourth connector means. third connector means (215a, b) adapted to connect to said first connector means of the portable electrical device, said third connector means providing said one or more power connectors of the apparatus; fourth connector means (217a, b) adapted to connect to said second connector means of said equipment; and a pass-through connection arrangement interconnecting at least one connector of said third connector means and a corresponding connector of said fourth connector means.