Gauss's Law insulating cylinder concentric shell

[ilovetswift]

Homework Statement

Homework Equations

The Attempt at a Solution

I'm not sure if I am doing part a,b,e, and f correctly

 

[haruspex]

You'd get more responses if you were to post attachments that are the right way up! Even after rotation, the handwritten parts are pretty hard to read.
For a), the denominator is hard to read, but it looks like .1π(.01)², which would be right.
For b), you seem to have used 'a' in place of the given variable r, and used r as the .01m radius. The cylinder length is ten times the radius, so I would think you are supposed to ignore end effects. If I ignore that term in the denominator and simplify what's left, it seems to give a value which increases with distance from the central cylinder, which cannot be right.
Pls take the trouble to post your working in LaTex, or write very clearly (no still-visible rubbings out!). It would also help if you were to define your variables.

 

[ilovetswift]

How do you post the attachments that are up right away? Also, on my pc they do not need to be rotated for whatever reason when they uploaded it turned them sorry.

a) i have written .1 pi (.01)^2 in the denominator
Thank you, and dually noted

 

[haruspex]

How do you post the attachments that are up right away?

Sorry, I don't know what the magic is there. I've never run into the problem, but I see you're not alone. Some come out 180 degrees out. Sounds like a landscape/portrait mix-up.

 

[Nickie]

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I would like to clarify that Gauss's Law is a fundamental law in electromagnetism that relates the electric flux through a closed surface to the charge enclosed by that surface. It states that the electric flux through a closed surface is equal to the net charge enclosed by that surface divided by the permittivity of free space.

Regarding the specific scenario of an insulating cylinder and a concentric shell, Gauss's Law can be applied to determine the electric field inside and outside the cylinder and shell. The total charge enclosed by the surface of the cylinder and shell would determine the electric flux through that surface, and by using the appropriate symmetry considerations, the electric field can be calculated at any point inside or outside the cylinder and shell.

In terms of the specific homework questions, it would be helpful to provide more context and information about the problem, such as the geometry and dimensions of the cylinder and shell, and any given values or conditions. Without this information, it is difficult to determine if the approach for parts a, b, e, and f is correct. However, in general, the key steps would involve identifying the appropriate Gaussian surface, determining the total charge enclosed by that surface, and using symmetry considerations to determine the electric field. It is important to also consider any given boundary conditions or constraints that may affect the calculation.