1 A long cylinder, with a radius R, has a uniform charge density p. The long cylinder is surrounded by a neutral conducting cylindrical shell with inner radius a and outer radius b, as shown in figure 1. (a) What is the surface charge density on both the inner and outer surface R @ b Figure 1. Problem 1. of the conducting shell (oa and b, respectively)? (b) What is the electric field E for r < R? (c) What is the electric field E for R b? ------ (f) What would be the electric field E for r < R? (g) What would be the electric field E for R

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1 A long cylinder, with a radius R, has a uniform charge density p. The long cylinder is
surrounded by a neutral conducting cylindrical shell with inner radius a and outer radius b, as
shown in figure 1. (a) What is the surface charge density on both the inner and outer surface
R
Figure 1. Problem 1.
of the conducting shell (oa and ob, respectively)?
(b) What is the electric field E for r < R?
(c) What is the electric field E for R <r <a?
(d) What is the electric field E for a <r <b?
(e) What is the electric field E for r > b?
F----1
Consider the case where the cylindrical shell were not neutral, but possessed a net negative
charge.
(f) What would be the electric field E for r < R?
(g) What would be the electric field E for R<r <a?
Transcribed Image Text:1 A long cylinder, with a radius R, has a uniform charge density p. The long cylinder is surrounded by a neutral conducting cylindrical shell with inner radius a and outer radius b, as shown in figure 1. (a) What is the surface charge density on both the inner and outer surface R Figure 1. Problem 1. of the conducting shell (oa and ob, respectively)? (b) What is the electric field E for r < R? (c) What is the electric field E for R <r <a? (d) What is the electric field E for a <r <b? (e) What is the electric field E for r > b? F----1 Consider the case where the cylindrical shell were not neutral, but possessed a net negative charge. (f) What would be the electric field E for r < R? (g) What would be the electric field E for R<r <a?
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