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Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es = 4.8 x 103 N/C. What is the linear charge density of the shell? Es 8.4 --E, r (cm) (a) (b)
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Transcribed Image Text:Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es = 4.8 x 103 N/C. What is the linear charge density of the shell? Es 8.4 --E, r (cm) (a) (b)
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Electric field due to line of charge is,
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Linear charge density of the shell is,
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The discontinuity in the graph simply denotes the shell’s radial position.
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The electric field outside the shell and radii (from the graph) is,
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Therefore,
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