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7. A metal sphere of radius R, carrying charge q, is surrounded by a thick con centric metal shell with inner radius a, outer radius b. The shell carries not net charge. on- (a) Find the surface charge density o at R 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 b

7. A metal sphere of radius R, carrying charge q, is surrounded by a thick con centric metal shell with inner radius a, outer radius b. The shell carries not net charge. on- (a) Find the surface charge density o at R 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 b

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7. A metal sphere of radius R, carrying charge q, is surrounded by a thick con- centric metal shell with inner radius a, outer radius b. The shell carries not net charge. (a) Find the surface charge density o at R 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 R. b.
Transcribed Image Text:7. A metal sphere of radius R, carrying charge q, is surrounded by a thick con- centric metal shell with inner radius a, outer radius b. The shell carries not net charge. (a) Find the surface charge density o at R 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 R. b.
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