Introduction to Electrodynamics
Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 2.5, Problem 2.38P

A metal sphere of radius R, carrying charge q, is surrounded by athick 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 chargeand lowers its potential to zero (same as at infinity). How do your answers to(a) and (b) change?

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