Voltmeter cylindrical shell help

AI Thread Summary
The discussion revolves around calculating the voltage difference using a voltmeter connected to a charged insulating cylindrical shell. The linear charge density is given, and the formula for voltage difference is provided, but the user struggles with applying it correctly. There is confusion regarding the distances used in the formula, particularly the need to measure from the cylinder's axis rather than the surface. Users emphasize the importance of showing work for effective assistance and clarify that the equation may not apply directly to a cylindrical shell as it would for a conducting cylinder. Accurate application of the formula and understanding of the geometry are crucial for solving the problem correctly.
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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