The wire can come through teh ceiling but the element must be in the BOTTOM. How else would it heat the water, given that hot water rises to the top?
If it can be installed in that position will depend on the IP rating of the element, but essentially yes but the supply has to be RCD protected and you'll need an supply point external to the bathroom.
How much? About the same a meal out. Whether its a meal at Weatherspoons or Le Manoir Aux Quattre Saisons will depend on how your house is wired.
Get some quotes from Part P Registered electricians.
I'm on my 2nd, and it's gone the way of the first.
Somewhere in the land beyond the loft hatch, where spiders play and things lost to man for many a year lurk in corners just out of reach, I've got another (I bought 2 replacements).
When I find it, or give up and buy one, I'm going to try filling the end with clear silicone to see if that helps.
If you replace yours be aware they they come straight, and are a right b***er to get on - soaking in really hot water to soften it helps.
We put our taps and filler on a horizontal surface at the end - like where your shampoo bottles are - figured we'd always be banging bits on the tap getting in and out if we put it where the maker expects.
Oh - and after a few years of daylight the side panel goes distinctly yellow.
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