Solution Found!
Answer: A hollow, conducting sphere with an outer radius
Chapter 22, Problem 21E(choose chapter or problem)
Problem 21E
A hollow, conducting sphere with an outer radius of 0.250 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37 X 10-6 C/m2. A charge of -0.500 µC is now introduced at the center of the cavity inside the sphere. (a) What is the new charge density on the outside of the sphere? (b) Calculate the strength of the electric field just outside the sphere. (c) What is the electric flux through a spherical surface just inside the inner surface of the sphere?
Questions & Answers
QUESTION:
Problem 21E
A hollow, conducting sphere with an outer radius of 0.250 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37 X 10-6 C/m2. A charge of -0.500 µC is now introduced at the center of the cavity inside the sphere. (a) What is the new charge density on the outside of the sphere? (b) Calculate the strength of the electric field just outside the sphere. (c) What is the electric flux through a spherical surface just inside the inner surface of the sphere?
ANSWER:
Solution 21E
We are given the surface charge density, from this we can calculate the charge on the sphere.
Given, outer radius
Surface area
Surface charge density
Therefore, charge on the sphere
A charge of -0.500 µC is now introduced at the center of the cavity inside the sphere.
Therefore, the net charge
(a) The new surface charge density
Theref