Electric field in all regions of infinite cylinder

AI Thread Summary
The discussion centers on calculating the electric field (E) in different regions of an infinite cylinder with a uniform linear charge along the z-axis and a concentric charged cylinder. Participants clarify the nature of the charge distributions, debating whether the inner charge is a wire or a rod, and confirm that the surface charge density (σ) is relevant for the outer cylinder. A key point raised is that the total charge for regions outside the cylinder (r > a) does not depend on the radial distance (r). The conversation emphasizes the need to focus on finding E(r) rather than calculating total charge in those regions. Ultimately, the discussion highlights the importance of correctly identifying charge distributions and applying relevant formulas to solve the problem.
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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