Electric field in all regions of cylinder

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SUMMARY

The discussion focuses on calculating the electric field (E) in all regions surrounding a uniform linear charge (λ = 3 * 10^-3 C/M) located along the z-axis and a concentric circular cylinder with a surface charge density (σ = 1.54π * 10^-3 C/M²). The participants confirm that the formulas used for the electric field calculations are correct, but one user points out an error regarding the cancellation of variables in the final equation. This highlights the importance of meticulousness in applying electrostatic principles.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with linear charge density and surface charge density
  • Knowledge of Gauss's Law for electric fields
  • Ability to manipulate mathematical equations in physics
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  • Study Gauss's Law applications in cylindrical symmetry
  • Learn about electric field calculations for linear charge distributions
  • Explore the concept of surface charge density and its effects on electric fields
  • Review mathematical techniques for simplifying electrostatic equations
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Students and professionals in physics, electrical engineering, or anyone involved in electrostatics and electric field analysis will benefit from this discussion.

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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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