A uniform charged hollow spherical sheet has total charge Q and radius a. a) Eva

Question

A uniform charged hollow spherical sheet has total charge Q and radius a.
a) Evaluate the potential right at the center of the sphere (r=0), directly from the given information.
b) Express the potential outside the sphere--at any distance r>a from the center-- as an integral over the source-charge sphere. (First calculate s, and then divide the sphere into narrow circular strips; adapt the formula for the potential on the axis of a charged ring. Be sure to define every symbol that you introduce. Do not attempt to evaluate the integral.)
c) Use Gauss's Law to determine the solution for E(r), at any .
d) Use your answer to part c to solve for the function
at any, and graph this function. Show your agreement with part a.

Explanation / Answer

a). V=-kQ/a b). V=-kQ/r c). Gauss's law. R>a Q*epsilon=E*4*pi*R^2 so E=Q*epsilon/4piR^2 R

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.