An apparatus for wirelessly transmitting electric currents walls. The walls may be bulkhead compartment walls of a fixed structure or a vehicle or the like. The apparatus includes a wireless electric power transmission arrangement that includes an electronic device on one side of a wall, which is powered by a power source on another side of the wall. The electronic device may be a sensor arrangement having one or more sensors, a battery charging device, a through-the-bulkhead repeater device or other electronic device requiring power.