Re: thinking the discs were battery-powered instead of needing a mains electrical connection.
FYI, British bathrooms & toilets generally don't have mains outlets. At most, a little shave-only socket using the less-lethal 110 V instead of mains 230 V, and with a much lower maximum current. And physically, it's nothing like the usual outlets, so the British plugs won't work, and almost but not quite like the European outlets, so those might or might not quite fit in there. And many don't even have that one.
In double-checking my reply, I find that technically, a mains outlet is allowed as long as it's at least 3 metres from tub, sink, shower, toilet, etc. I've never seen it yet, myself.