Solution Found!
A metal sphere of radius R, carrying charge q, is
Chapter 2, Problem 38P(choose chapter or problem)
Problem 38P
A metal sphere of radius R, carrying charge q, is surrounded by a thick concentric metal shell (inner radius a, outer radius b, as in Fig. 2.48). The shell carries no net charge.
(a) Find the surface charge density σ at R, at a, and at b.
(b) Find the potential at the center, using infinity as the reference point.
(c) Now the outer surface is touched to a grounding wire, which drains off charge and lowers its potential to zero (same as at infinity). How do your answers to (a) and (b) change?
Reference figure 2.48
Questions & Answers
QUESTION:
Problem 38P
A metal sphere of radius R, carrying charge q, is surrounded by a thick concentric metal shell (inner radius a, outer radius b, as in Fig. 2.48). The shell carries no net charge.
(a) Find the surface charge density σ at R, at a, and at b.
(b) Find the potential at the center, using infinity as the reference point.
(c) Now the outer surface is touched to a grounding wire, which drains off charge and lowers its potential to zero (same as at infinity). How do your answers to (a) and (b) change?
Reference figure 2.48
ANSWER:
Solution
Step 1 of 4
Consider a metal sphere of radius carrying a charge which is surrounded by a thick metal shell of inner radius and outer radius , and the shell carries no net charge.
