1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Potential of a Charged Cylinder

  1. Nov 5, 2007 #1
    1. The problem statement, all variables and given/known data

    A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin, as shown in the figure.


    What is the potential V0 in the limit as h goes to zero?

    Express your answer in terms of q, r, and ε0.

    2. Relevant equations


    3. The attempt at a solution

    with h=0, the values under the root would be 1 (1+0), and the other values in the parenthesis would be zero, so we would have ln(1) which is 0, and then 0 multiplied times the rest would also be 0, but this is incorrect.

    Thanks in advance for the help!
    Last edited: Nov 5, 2007
  2. jcsd
  3. Nov 5, 2007 #2

    Chi Meson

    User Avatar
    Science Advisor
    Homework Helper

    Where is Vo to be measured? On the surface I assume? And as h goes to zero, this becomes simply a circular charge distribution, doesn't it?
  4. Nov 5, 2007 #3
    to perform that limit use l'hospitals rule from calculus. and like the previous states you need a reference point to calculate potential is it in the center or is it along the z axis
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?