Consider two long, thin, concentric cylindrical shells. The smaller shell has a radius ‘a’ and carries a uniform surface charge density +σ. The larger shell has a radius ‘b’ and carries a surface charge density −2σ. Your answers for this problem should only depend on the variables r, σ, and ε0. A section of the two cylinders is shown to the right. (a) Find an expression for the electric field as a function of r (distance from the center of the cylinders), for r < a. (b) Find an expression for the electric field as a function of r, for a < r < b. (c) Find an expression for the electric field as a function of r, for r > b.
Consider two long, thin, concentric cylindrical shells. The smaller shell has a radius ‘a’ and carries a uniform surface charge density +σ. The larger shell has a radius ‘b’ and carries a surface charge density −2σ. Your answers for this problem should only depend on the variables r, σ, and ε0. A section of the two cylinders is shown to the right. (a) Find an expression for the electric field as a function of r (distance from the center of the cylinders), for r < a. (b) Find an expression for the electric field as a function of r, for a < r < b. (c) Find an expression for the electric field as a function of r, for r > b.
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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Consider two long, thin, concentric cylindrical shells. The smaller shell has a radius ‘a’ and carries a uniform surface charge density +σ. The larger shell has a radius ‘b’ and carries a surface charge density −2σ. Your answers for this problem should only depend on the variables r, σ, and ε0. A section of the two cylinders is shown to the right.
(a) Find an expression for the electric field as a function of r (distance from the center of the cylinders), for r < a.
(b) Find an expression for the electric field as a function of r, for a < r < b.
(c) Find an expression for the electric field as a function of r, for r > b.
Transcribed Image Text:(c) Find an expression for the electric field as a function of r, for r> b.
Transcribed Image Text:Consider two long, thin, concentric
cylindrical shells. The smaller shell has a
radius 'a' and carries a uniform surface
charge density +o. The larger shell has a
radius 'b' and carries a surface charge
density -20. Your answers for this problem
should only depend on the variables r, o,
and ɛo. A section of the two cylinders is
shown to the right.
-20
+o
(a) Find an expression for the electric
field as a function of r (distance from
the center of the cylinders), for r < a.
(b) Find an expression for the electric field as a function of r, for a <r< b.
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