Solution Found!
Suppose the potential V0(?) at the surface of a sphere is
Chapter 3, Problem 20P(choose chapter or problem)
Problem 20P
Suppose the potential V0(θ) at the surface of a sphere is specified, and there is no charge inside or outside the sphere. Show that the charge density on the sphere is given by
Questions & Answers
QUESTION:
Problem 20P
Suppose the potential V0(θ) at the surface of a sphere is specified, and there is no charge inside or outside the sphere. Show that the charge density on the sphere is given by
ANSWER:
Solution 20P
Step 1 of 3:
Consider a sphere having no charges on its inside and the outside. The radius of the sphere is R. The potential at the surface of the sphere is also given. We are going to prove the expression for the charge density as given in the problem. The potential at the surface of the sphere is V0(θ).