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## Homework Statement

A hollow cylindrical shell of length L and radius R has charge Q uniformly distributed along its length.

What is the electric potential at the center of the cylinder?

## Homework Equations

n = Q/A

V = kQ/r

## The Attempt at a Solution

1) the cylinder has uniform surface charge densitiy n = Q/A;

where A = 2piR^2 + 2piRL = area of cylinder

therefore: n = Q/(2piR^2 + 2piRL)

2) now i am stuck.......because for the two circle parts of the cylinder (2 disks) i know i can find the potential by dividing the disk into rings and then using integration..........but i don't know how to incorporate the length of the cylinder in to the problem before intergation........i mean i know know how to start dividing the cylinder in to small pieces and then using the surface charge desity and then intigrating to find the equation?

please give me as much info about this quesition as posible.....since the assignment is due tomorrow and this is the only problem i have left to do

thank you