Electric Field Magnitude of Cylinder w/ Uniform Charge

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Homework Help Overview

The discussion revolves around calculating the electric field magnitude of a cored cylinder with a uniform charge density. The cylinder has an inner radius of 10 cm and an outer radius of 20 cm, with a charge density of 2 nC/m³. Participants are tasked with finding the electric field at various points: 8 cm, 18 cm, and 28 cm from the axis.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the interpretation of charge density and the application of Gauss' law. There are attempts to define the electric field at different radial distances, with some questioning the appropriate use of Gaussian surfaces for the calculations.

Discussion Status

The discussion is ongoing, with participants exploring different cases for calculating the electric field. Some guidance has been offered regarding the use of Gaussian cylinders to enclose charge, but there is no explicit consensus on the approach to take for each case.

Contextual Notes

There is a mention of potential confusion regarding the charge density unit, and participants are clarifying the setup for the electric field calculations based on the cylinder's geometry.

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So question :
We have cored cilynder. Inner radius 10 cm, outer radius 20 cm. In the walls
of the cilynder uniformed charge 2nK/m^3. Find electric field magnitude at the points from axes 8cm 18cm 28cm.

Sorry for my english.
 
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I think you mean 2 nC/m^3 for the charge density. What attempts have you made in solving this problem. The first case is the easiest.
 
Yes I mean nC/m^3. So For 8cm I think to use that E = <r0>*r\(2*e*0e).
it is a case then point where we define electric field is inner cilinder.
But then we have 18cm, then point would be in the cilinder.
3 case i could use E = <ro> *R^2\(2*e0*e*r), but what should be R - radius od cilynder 20cm.

<ro> is charge density.
 
For the first case, the gaussian cyclinder would enclose no charge at all. Now for the other two, draw similar gaussian cylinders - one within the walls and the thrid outisde the charged cylinder. If you know the general case of evaluating the field of a long cylinder using Gauss' law, it would be a simple exercise to solve the problems.
 
EDIT: Never mind...I was being an idiot!
 
neutrino said:
For the first case, the gaussian cyclinder would enclose no charge at all. Now for the other two, draw similar gaussian cylinders - one within the walls and the thrid outisde the charged cylinder. If you know the general case of evaluating the field of a long cylinder using Gauss' law, it would be a simple exercise to solve the problems.
:confused:
 

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