Electric field in all regions of infinite cylinder

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Homework Help Overview

The discussion revolves around determining the electric field in all regions of an infinite cylinder with a uniform linear charge along the z-axis and a concentric circular cylinder with a surface charge distribution. The problem involves understanding the configuration and the implications of the charge distributions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the nature of the cylindrical charge distribution and its implications for calculating the electric field. Questions are raised about the definitions of the variables involved and the correct interpretation of the charge distributions.

Discussion Status

There is an ongoing exploration of the problem's setup, with participants questioning the identification of the charge distributions and discussing the implications for calculating the total charge in different regions. Some guidance has been offered regarding the interpretation of the charge density and its relation to the electric field.

Contextual Notes

Participants are navigating the definitions and relationships between the linear charge density and the surface charge density, with some confusion about the variables used in the equations. The problem's constraints regarding the regions defined by the radius of the cylinder are also under discussion.

yayovio10
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Homework Statement



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

Homework Equations



The Attempt at a Solution



so i was wondering if these are the formulas that i have to use in order to solve this problem

exa1.png
 
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You haven't identified a.

Is the red part a wire, a solid cylindrical dielectric section or a cylindrical shell section?
 
i think its a wire or a rod and "a" would be the radius of the cylinder, so my question would be since the problem gives you the surface charge of the cylinder

the total charge for r>a would be λL+ ρ*2∏*r*L ?
 
Last edited:
yayovio10 said:
i think its a wire or a rod and "a" would be the radius of the cylinder, so my question would be since the problem gives you the surface charge of the cylinder

the total charge for r>a would be λL+ σ*2∏*r*L ?

No, the total charge (per length L) is not a function of r if r>a. Besides, you're supposed to find E(r).

I changed your "ρ" to a "σ".
 

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