Welcome to dead TC syndrome..
See the long thread.. https://discussions.apple.com/message/10530997#10530997
or this one.
But there are many others.. type into google Time Capsule dead power supply. See the pain and angst..
If the TC is less than a year old Apple will replace it. If you have AppleCare on any computer, and the TC is less than 3years old, apple will replace it. Otherwise it is now dead.
Apple cannot fix it.. will not repair them.. but a bunch of people will.
We actually think it is a good idea gone wrong. And worth the trouble to fix properly.