The Electric Field of a Charged Cylinder and a Concentric Cylindrical Shell. A non-conducting cylinder of radius a is charged with charge density p(r) = p.r, where r is the distance from the cylinder axis. The cylinder is placed inside a shell with cylindrical inner and outer radii b and c, respectively. The outer shell is charged with a uniform charge density p(r) = Po. The cylinder and the shell are concentric (see figure). D b a Derive the formulas for the magnitude of the electric field at points A, B, C, and D. Guidance:

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Chapter25: Gauss’s Law
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The Electric Field of a Charged Cylinder and a Concentric Cylindrical Shell.
A non-conducting cylinder of radius a is charged with charge density p(r) = p.r, where r is the distance from the cylinder axis. The cylinder is placed inside a shell with cylindrical inner
and outer radii b and c, respectively. The outer shell is charged with a uniform charge density p(r) = Po. The cylinder and the shell are concentric (see figure).
D
B
b
0
Derive the formulas for the magnitude of the electric field at points A, B, C, and D.
Guidance:
1. If required by the formulas, specify Coulomb's force constant through the Vacuum Permittivity, E = 1/4nk instead of Coulomb's onstant, k.
2. Type epso, rhoo, and pi, if the respective symbols Eo,Po, and n, are required.
Transcribed Image Text:The Electric Field of a Charged Cylinder and a Concentric Cylindrical Shell. A non-conducting cylinder of radius a is charged with charge density p(r) = p.r, where r is the distance from the cylinder axis. The cylinder is placed inside a shell with cylindrical inner and outer radii b and c, respectively. The outer shell is charged with a uniform charge density p(r) = Po. The cylinder and the shell are concentric (see figure). D B b 0 Derive the formulas for the magnitude of the electric field at points A, B, C, and D. Guidance: 1. If required by the formulas, specify Coulomb's force constant through the Vacuum Permittivity, E = 1/4nk instead of Coulomb's onstant, k. 2. Type epso, rhoo, and pi, if the respective symbols Eo,Po, and n, are required.
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