My RCA Bigscreen HDTV will not turn on.

If this is similar to the d52w20 then I almost garantee you need to replace a capacitor. You can check to make sure that's what you need by unplugging the tv, taking off the back cover and feeling the top of 3 capacitors. On my d52w20, CP150 (rated at 2200uf 16V) was blown and the top was bulged out. You should also check CP120 and CP114 to see if either are blown. I don't have a clear picture of where it's located, but I have a picture of what you should see after you take off the back cover.

http://i265.photobucket.com/albums/ii209/fillmore85welder/KodakMoment003-1.jpg

In the middle of the picture you see an aluminum heatsink in the shape of a 'C' with the opening facing away from you. That is where CP150 is located. CP120 and CP114 should be located nearby, but if you can feel a bulge on any of the tops of those 3 capacitors replacing them should fix your problem. Replace the existing capacitors with a higher voltage rating of either 25v or 35v.

"4 capacitors on the power/deflection board. CP110 220uf 200v. CP120 220uf 35 Volts. CP114 220uf 35 volts. CP150 2200 16 volt. also check entire delfection board for cold solder especially around flyback. bad connections here can cause problems like some of the fp fuses blowing and cutting off convergence supply"

I just ordered the same capacitor off of amazon for just over $3 for 3