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 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 Thomsons theorem to find () (0) P,(cos0) l 1

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

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 (0) = P,(cos0) l=1

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).

(0) = P,(cos0) l=1

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