So it says here that a conducting sphere of radius R with a charge Q uniformly distributed over its surface has V = Q/4πεR , using infinity as the reference point having zero potential,,V (∞) = 0. This gives C = Q/|ΔV| = Q/(Q/4πεR)=4πεR. Does ,V (∞) mean that you are taking the potential of a sphere of infinitely large radius and compressing it into a sphere of radius R to find V? Sorry if my understanding is completely wrong, haha. But why is the potential difference equated to ,V (∞) - V? Also, assuming that the sphere is charged to a potential V1. A spark then occurs which discharges the sphere to a potential V2. Would the energy of the spark be E=c(V1-v2)^2/2 or E=c((V1)^2-(V2)^2)/2 ? I'm confused about the potential difference part. Thank's for your time!