A power cut can cause power surges with electronic devices, your computer could be ruined in any number of ways.
You already know the Monitor is fine, if you used the same cable you know that is fine too.
Try a power supply you know works, like Linux711 said, if it still doesnt work try testing each component seperatly:
If you have a Graphics Card, test that in a working PC. If it still works its not the GPU.
If you have onboard graphics, test the motherboard with parts that you know work (memory, CPU, power supply etc), if it doesn't work, you've screwed your motherboard.
Test the memory, processor etc etc only if testing the Graphics card, motherboard and power supply gives you no results (these are unlikally to give you no signal on your monitor anyway)
Unfortuantly things like this happen, pop down to your local hardware store and pick up a surge protected extension board to avoid this from happening. The surge protector controls the amount of electricity that passes through, so you can never have a sudden surge of electricity (hence the name)