All you know right now is PC did not complete POST (power on self test).
It might be the power supply. But it could also be some other problem.

->No way to tell from your description what the problem is.
Do you hear any beeping?
 
Computer POST and beep codes
http://www.computerhope.com/beep.htm


If you computer does not have a motherboard or case speaker you may need to get one.
Check your motherboard manual.


How can I disable or enable the internal speaker?
http://www.computerhope.com/issues/ch000725.htm


Motherboard speaker:
http://www.newegg.com/Product/Product.aspx?Item=N82E16812201032
12-201-032-TS