Electric field in all regions of cylinder

AI Thread Summary
The discussion centers on calculating the electric field (E) in all regions surrounding a uniform linear charge (λ) along the z-axis and a concentric circular cylinder with a surface charge density (σ). The linear charge density is given as λ = 3 * 10^-3 C/M, while the surface charge density is σ = 1.54pi * 10^-3 C/M^2. Participants confirm that the formulas for calculating E appear correct, although one user points out an error regarding the cancellation of variables in the final equation. The conversation emphasizes the importance of accurately applying electrostatic principles to determine the electric field in various regions. Accurate calculations are essential for understanding the behavior of electric fields in this configuration.
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A uniform linear charge of λ is located along the z axis, and concentric circular cylinder of radius 2 [m] has a surface distribution charge of α . both distributions are infinite, the distribution of linear charge is contained in the interior of the circular cylinder as shown image.

figura1.png


λ = 3 * 10^-3 (C/M)
σ = 1.54pi * 10^-3 (C/M^2)

Determine E, in all regions

so i was wondering if these are the formulas that i have to use or if I am wrong

exa1.png
 
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These look right, except you seem to have forgotten to cancel out the L's in the very last equation.
 

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