I am trying to repair a motherboard that had a shorted ceramic capacitor (1206 package) in position B. The voltage across the pads is ~19V. I put in a 10 μF 25V-rated ceramic cap, and the motherboard could be powered on, but the cap quickly became very hot (75°C after a couple of minutes), even when the board was just plugged in, and not powered up. The smaller ceramic cap in position A is in parallel with the cap in position B, and they seem to be decoupling the power supply for the IC in position C. Fundamentally, my question is how to puzzle out the capacitance of the shorted cap (or, alternatively, an explanation of why the 10μF cap might be inadequate). But a secondary question is why the need for two ceramics (of different capacitance) in parallel.
One idea is to just get the datasheet for the IC, and see what decoupling cap values are specified. Unfortunately, googling the markings on the IC ("EN=FG 82W") don't lead to any obvious result. Perhaps someone here is knowledgeable enough to identify the chip by its appearance.
Needless to say, I don't have access to the schematic, and the manufacturer wasn't forthcoming with the needed info.