Problem 2.38 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 o 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?
Problem 2.38 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 o 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?
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![Problem 2.38 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 o 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F774b9ce5-bbe0-4465-8b90-e7d2f013303a%2F3549da5b-8227-44a5-b9aa-56a1380a05c6%2Fodudayw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2.38 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 o 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?
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