Sadiq
Nov28-04, 10:17 PM
I calculated the resistance between two points (P and Q) on a sphere that are located on the two ends of a diameter by dividing the sphere into thin strips of thickness dz that are in series perpendicular to the line PQ (say the z-axis). I can get an expression for the indefinite integral in theta (the polar angle theta, z = S Cos (theta), and S= radius), however I run into problem when evaluating this definite integral for theta = 0 to pi. Apparently the fact that the strip element becomes a points at the ends is causing this problem. I use dR=rho * dl/A with dl = -S Sin(theta) d(theta) and A(theta) = pi {S Sin(theta)}^2. What is going wrong here? Because I know that there must be a finite resistance between two such points.