Chosen Solution

Hello guys i had been serious problem of electricity it damaged connection of nap of lcd screen with logic board sinve that my imac start up with black screen and noise of fan.

Lmatina, yes you have had a shortcircuit. You will have to stop using your iMac, remove the board. Clean it off with isopropyl alciohol and a soft brush. Then you need to evaluate all the traces, and you are missing some components on the board. This repair is a major undertaking. You can try and have it fixed or replace the board. Let us know which way you want to go with that and what your capabilities are. part description the parts you are missing are L9000 which is a 250ohm filter bead. From what I can find it is a 0805 package and something like this should fit. The other part is R9227, a resistor in a 402 package. Please remember that you need to clean everything first, double check all your traces. post another image once you have done that so we can help you check your solder pads etc.