An electrochromic switchable transparency, e.g. a window and/or a mirror includes an electrochromic switchable medium between a pair of electrode assemblies. At least one of the electrode assemblies is transparent to visible light and includes an electrode over a surface. In one nonlimiting embodiment of the invention, the electrode has two electrically conducting layers and a bridging layer between and interconnecting the two electrically conducting layers. In one nonlimiting embodiment, the bridging layer includes a high electrically resistance connecting layer to provide the electrode with a heating layer to heat the surface and/or a current conducting layer to pass current to the medium. In another nonlimiting embodiment, the bridging layer includes an electrically connecting layer to pass current to electrically enhance the first electrically conductive layer. In another nonlimiting embodiment, the electrically conducting layers are silver films to reduce infrared transmission through the first electrode assembly.