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It's not quite that simple. You forgot to include the permittivity of free space (air is approximately the same).Yeah, the formula is dead simple, it's just area/distance = capacitance. Area is in square centimeters, distance in cm, capacitance in µF. If it was anything but air you would need a slightly more complicated formula with a dielectric coefficient.
Your minimum plate spacing is going to be based on the peak voltage and dielectric strength of air, of course. If it's too small, you add more plates - but you got lots of plates!
Yeah, I've done that. Sometimes a sanity check helps. Using your equation, a 1cm² cap with 1cm spacing would have a capacitance of 1uF. Tiny cap values might be tough to build, but power supply filtering would be a piece of cake!You're right, I'm sorry. I get a little too cavalier with the equations I think I remember off the top of my head.