Voltmeter cylindrical shell help

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Homework Help Overview

The problem involves a long insulating cylindrical shell with a uniform charge distribution, specifically focusing on the potential difference measured by a voltmeter at various points relative to the cylinder's surface and axis. The relevant equation for voltage is provided, but there appears to be confusion regarding its application to the cylindrical shell versus a conducting cylinder.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the application of the voltage equation and question whether it is appropriate for a cylindrical shell as opposed to a conducting cylinder. There are attempts to calculate the voltage difference using the provided formula, but some participants express uncertainty about the distances used in the calculations.

Discussion Status

The discussion is ongoing, with some participants providing attempts at solutions while others are questioning the assumptions made about the problem setup. There is no clear consensus, and participants are exploring different interpretations of the problem.

Contextual Notes

Participants note the need for clarity on the distances used in the voltage calculation and the distinction between the cylindrical shell and a conducting cylinder. There is also mention of homework rules that discourage direct solutions from others.

kimm
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Homework Statement



A very long insulating cylindrical shell of radius 6.00 cm carries charge of linear density 8.90*10^-6 C/m spread uniformly over its outer surface.
*What would a voltmeter read if it were connected between the surface of the cylinder and a point 4.70 above the surface. and What would a voltmeter read if it were connected between the surface and a point 1.00 from the central axis of the cylinder?


Homework Equations



delta V= ( lemda/ 2pi epslion) (ln(rb/ra))

The Attempt at a Solution


delta V= ( lemda/ 2pi epslion) (ln(rb/ra))
 
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if you don't show your attempt to solve the question ,no one would be able to help , please show your work even if it is wrong..
 


kimm said:

Homework Statement



A very long insulating cylindrical shell of radius 6.00 cm carries charge of linear density 8.90*10^-6 C/m spread uniformly over its outer surface.
*What would a voltmeter read if it were connected between the surface of the cylinder and a point 4.70 above the surface. and What would a voltmeter read if it were connected between the surface and a point 1.00 from the central axis of the cylinder?


Homework Equations



delta V= ( lemda/ 2pi epslion) (ln(rb/ra))

The Attempt at a Solution


delta V= ( lemda/ 2pi epslion) (ln(rb/ra))
what i did was
(8.90* 10^-6/ 2 pi 8.85*10^-12)ln (4.5/6)
i got -39084.73
but the answer was wrong
 


I think that the equation you used is applied for charged conducting cylinder, and your question involves cylindrical shell.. so are they the same?

I suggest you try to think if you can somehow relate the question you have to a ring of charge in order to find the voltage..
 


Guys I reallly thought about it but i have not found an answer can some one solve it.
 


kimm said:
Guys I reallly thought about it but i have not found an answer can some one solve it.
No, this forum does not work that way.

The Attempt at a Solution


delta V= ( lemda/ 2pi epslion) (ln(rb/ra))
what i did was
(8.90* 10^-6/ 2 pi 8.85*10^-12)ln (4.5/6)
i got -39084.73
but the answer was wrong
Where does the 4.5 come from? The point is "4.70 above the surface", but you should use distance to the cylinder's axis in that formula.
 

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