Gauss's Law and electric field magnitude

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Homework Help Overview

The problem involves a solid, non-conducting cylinder with a total charge and an uncharged conducting cylindrical shell. The task is to find the electric field magnitude for a specific region inside the non-conducting cylinder.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the relationship between the charge distribution and the electric field. Questions are raised about the derivation of specific terms in the proposed answer, particularly regarding the charge inside a certain radius and the implications of uniform charge distribution.

Discussion Status

The discussion is ongoing with participants seeking clarification on the problem setup and the reasoning behind the electric field expression. Some guidance has been offered regarding the charge distribution, but there is no explicit consensus on the approach to take.

Contextual Notes

There is uncertainty about the charge distribution within the non-conducting cylinder and how it affects the electric field calculation. Participants are also questioning the assumptions made in the problem statement.

amb0027
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Homework Statement


You have a solid, non-conducting cylinder of radius a, length L, and a total charge of Q.
Concentric with this is an uncharged conducting cylindrical shell of inner radius b and outer radius c. Find the magnitude of the electric field for values of r where r < a


Homework Equations


Flux e = integral of E * ds = Qenc / Epsilon not


The Attempt at a Solution


The answer is 2kQr/La^2. I don't understand at all where you get the r, or the a^2. Can anyone break this down for me?
 
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welcome to pf!

hi amb0027! welcome to pf! :smile:

(have an epsilon: ε and try using the X2 and X2 icons just above the Reply box :wink:)
amb0027 said:
The answer is 2kQr/La^2. I don't understand at all where you get the r, or the a^2. Can anyone break this down for me?

hint: what is the amount of charge inside radius r ? :wink:
 
I don't understand how to approach the problem youre asking either.. I need someone to explain it
 
amb0027 said:
I don't understand how to approach the problem youre asking either.. I need someone to explain it
amb0027 said:
You have a solid, non-conducting cylinder of radius a, length L, and a total charge of Q.

i think they mean that the charge is uniformly distributed throughout the sphere …

so what is the amount of charge inside radius r ? :wink:
 

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