I just faced an issue with my Surface RT device. I was unable to turn on the device though it was completely charged. Though I had no idea about the issue but I was guessing about the Power Switch issue. Did a lot of stuffs, searching online etc. but nothing help.
Finally I tweeted about the issue and got a reply which helped me to turn on the device. If you came to this page just because your Surface is not turning on, this post will help you.