# Electric potential along the axis of a cylindric tube

• Physics_101
In summary, the conversation discusses finding the electric potential and electric field at any point along the axis of a cylinder with open ends and a uniform surface charge density. The suggested approach is to treat the cylinder as stacked line charges and integrate to find the potential. The key is to keep in mind the symmetry and the fact that the electric field only has an axial component.
Physics_101

## 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.

## 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

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.

## What is electric potential?

Electric potential is the amount of electrical potential energy per unit charge at a specific point in an electric field. It is measured in volts (V).

## What is the axis of a cylindrical tube?

The axis of a cylindrical tube is the imaginary line that runs through the center of the cylinder and is perpendicular to the circular base.

## How is electric potential calculated along the axis of a cylindrical tube?

The electric potential along the axis of a cylindrical tube can be calculated using the equation V = kQ/r, where V is the electric potential, k is a constant, Q is the charge of the cylinder, and r is the distance from the axis.

## What factors affect the electric potential along the axis of a cylindrical tube?

The electric potential along the axis of a cylindrical tube is affected by the charge of the cylinder, the distance from the axis, and the constant k, which depends on the material between the cylinder and the point where the potential is being measured.

## How does the electric potential change along the axis of a cylindrical tube?

The electric potential along the axis of a cylindrical tube decreases as the distance from the axis increases. This means that the potential is highest at the center of the cylinder and decreases as you move towards the edges.

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