Your find has sharp right-angle corners, so it is most likely not a beltplate or shoulder-belt plate, because those corners tend to cut things like fingers or clothing. There was an early form of photographic plate called a Daguerreotype, invented and popularized worldwide in 1939, consisting of a thin rectangular piece of sheet copper, whose image was made on a very thin layer of silver depositied on the plate.
https://en.wikipedia.org/wiki/Daguerreotype
We dig Daguerreotype plates occasionally at civil war era (and a bit later) sites. Diggers hope it's a belt-plate, but the 90-degree corners say no.
I can't say for certain that that's what you found, but it is at least a possibility.
You might want to make a tiny scrape on your find, to see whether the metal is yellow (brass) or pinkish-orange (copper). If it is brass, it is not a Daguerreotype plate.
If it is brass... thin sheetbrass waistbelt-plates/shoulderbelt-plates show two or three grey solder-spots on the back, where the belt-attachment hooks were soldered onto the plate. Are any visible on your find?