A point charge q lies a distancer > R from the center of an uncharged, conducting sphere of radius R. Express the induced surface charge density in the form

where θ is the polar angle measured from a positive z-axis which points from the sphere center to the point charge.
(a) Show that the total electrostatic energy is

(b) Use Thomson’s theorem to find σ(θ).

Transcribed Image Text:

σ(0) = ΣσP,(cos0) l=1