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Problurb A metal sphere of radius R1, carrying charge Q, is surrounded by a thick concentric metal shell (inner radius a, outer radius b). The shell carries no net charge. (a) Find the surface charge density p, at R1, at a, and at b. Make a rough sketch. (b) Find the E-field in all 4 regions. (c) Find the potential at the center, using infinity as a reference. Sketch the potential versus R. (d) Now the outer surface is touched to a grounding wire, which lowers its potential to zero (same as at infinity). How do your answers to (a) and (b) and (c) change?

Problurb A metal sphere of radius R1, carrying charge Q, is surrounded by a thick concentric metal shell (inner radius a, outer radius b). The shell carries no net charge. (a) Find the surface charge density p, at R1, at a, and at b. Make a rough sketch. (b) Find the E-field in all 4 regions. (c) Find the potential at the center, using infinity as a reference. Sketch the potential versus R. (d) Now the outer surface is touched to a grounding wire, which lowers its potential to zero (same as at infinity). How do your answers to (a) and (b) and (c) change?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Problurb A metal sphere of radius R1, carrying charge Q, is surrounded by a thick concentric metal shell (inner radius a, outer radius b). The shell carries no net charge. (a) Find the surface charge density ps at R1, at a, and at b. Make a rough sketch. (b) Find the E-field in all 4 regions. (c) Find the potential at the center, using infinity as a reference. Sketch the potential versus R. (d) Now the outer surface is touched to a grounding wire, which lowers its potential to zero (same as at infinity). How do your answers to (a) and (b) and (c) change?
Transcribed Image Text:Problurb A metal sphere of radius R1, carrying charge Q, is surrounded by a thick concentric metal shell (inner radius a, outer radius b). The shell carries no net charge. (a) Find the surface charge density ps at R1, at a, and at b. Make a rough sketch. (b) Find the E-field in all 4 regions. (c) Find the potential at the center, using infinity as a reference. Sketch the potential versus R. (d) Now the outer surface is touched to a grounding wire, which lowers its potential to zero (same as at infinity). How do your answers to (a) and (b) and (c) change?
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