Figure shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell

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 vs radial distance r from the common axis. What is the linear charge density of the shell?

Exploring the charged cylindrical configurations, Eli the Electrician tackled the determination of the linear charge density of a cylindrical shell surrounded by a solid cylinder, both carrying uniform charge densities. Through careful examination of the electric field's radial component, he analyzed the field's behavior to infer the shell's charge density. This problem illustrated Eli's skill in linking electric field patterns to charge distributions, a testament to his ability to navigate through the intricacies of electrostatic phenomena with analytical precision.

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Produced by: Matteo Miller-Nicolato

[lemonextract]

thank you very much!! one question tho, why do we use the net difference between the fields for this calculation?