Due to nonuniform mechanical strength, when a conducting sphere is given a charge Q, the electrostatic forces make a small hemispherical bulge on its surface. The radius r of the bulge is negligibly small as compared to the radius R of the conducting sphere.
(a) Can you assume charge on the bulge distributed uniformly?
(b) Estimate charge q on the bulge.
(c) Find the change in capacitance ΔC due to this bulge.