its not something you can usually diagnose from a picture. How do you have it hooked up? Are you using an osd? Is there anything happening in the goggles when you turn it on? Did it ever work? These are things I would need to know. If it does turn out to be the vtx you can often reset the solder joints by putting it in your oven and actually baking it at like 300 until the solder heats up enough to melt. Just make sure you research how do do it before trying.
My JJPro P200 VTX went out while in Texas. It's a 25 & 600mw, switchable VTX. The 25mw worked fine but the 600mw just stopped working. I came across the "baking" idea and thought it had some merit, made sense anyway. I reviewed all of the info I could find and gave it a shot. It didn't work for my particular issue. Just thought I'd share my recent experience.
Jerry, if you are looking for a replacement, the Tramp has been working out well for me. One good feature, if it gets too hot it will step down the power until it cools off (like if you are waiting to take off, or recovering a crashed quad).
Yeah it's not a sure fix. It will only work if it is a bad solder connection somewhere. If you plugged it in with no antenna you maybe correct in thinking you burned it out. If you had it on 600mw It would of been more likely to happen. If it was on 25mw the vtx can usually last a bit with no antenna on. How long did you have it on with no antenna? If it's burnt out I'm not sure you can do anything about it. I'm sure it's a pretty technical and involved fix.
Just to follow up: I bought a new Vtx which didn't work either. I took everything apart and found out that not only was solder touching, the positive and negative vtx jumpers were wired backwards- at the factory. I did a hack job, switched the wires, and it worked ! I now have 2 working vtx! Thanks for the help everybody.