Electric potential along the axis of a cylindric tube

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To find the electric potential along the axis of a cylinder with a uniform surface charge density, one should model the cylinder as a series of stacked ring charges. The potential from each ring can be calculated, and then integrated over the length of the cylinder. The electric field can be derived from the potential once it is established. It is important to note that due to symmetry, the electric field has only an axial component. Assistance is offered to help set up the integral for the calculation.
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Homework Statement


Imagine a cylinder of radius R and Length L. Both of it's ends are open and it carries a uniform surface charge desnity of sigma (@) Find the electric potential at any point along the axis of the cylinder, and then use that to calculate the electric field at any point.


Homework Equations





The Attempt at a Solution


Essentially the way you are supposed to do this problem (I think) is to assume the tube is just a bunch of stacked line charges (rings), and then find the potential from a ring, and then integrate from 0 to L or something, I'm having real trouble doing so however, any help out there?
Thanks
 
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Your concept is correct. Find dE for a ring line of charge and keep in mind dE has only an axial component due to symmetry. Try setting up the intergral and post it.
 

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