Hello awhite6000,
You may have had your TC for between 1 and 2 years, possibly slightly longer? Is it a 500GB or 1TB unit, that used to run 'hot' to the touch?
If yes, to these two questions, it is highly likely (>95%) that the power supply unit (PSU) has cooked itself to death. The PSU stops supplying power and the whole TC dies. Again, it is highly likely that the data stored away on the internal hard drive, is perfectly OK. It is merely physically isolated and sealed away in a dead box. This happens to lots and lots and LOTS of people - almost everyone who visits this thread and one other on these Apple forums.
Options open to you are:
1. Sweet talk Apple into swapping this unit for a 'new' refurbished unit.
2. Loudly harangue Apple for producing a 'server grade' back-up device that has singularly failed to do what it was designed to do. It is not 'fit for purpose' and should be exchanged forthwith for a 'new' refurbished unit.
3. Do not approach Apple. Extract the hard drive and put it into something like a DROBO case and use it that way. Find some other way of wifi linking your computers though.
4. Get the unit 'repaired' by one of the people on this list, kindly compiled by Ray Haverfield (Melbourne, Oz. All round good guy).
http://sites.google.com/site/lapastenague/a-deconstruction-of-routers-and-modems /apple-time-capsule-repairers
5. Do it yourself, using Ray's help, etc.
6. Don't give up!
NOTE: Points 1 and 2 above have the same outcome but one might involve raised voices and unpleasantness. 😉
You are following the path that so many before you have trodden. Welcome to the club! 🙂
Regards,
Chris Fackrell
YORK,
UK.