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!

Finding electrostatic potential

  1. Oct 8, 2014 #1
    1. The problem statement, all variables and given/known data

    Find the energy stored in a solid sphere by integrating ##\frac{\epsilon_0}{2} \int E^2d^3r## given that ##E=k\frac{r^2}{4 \epsilon_0}## for ##0<r\le R## and ##E=k\frac{R^4}{4r^2 \epsilon_0}## for ##r>R##
    2. Relevant equations

    ##U=\frac{\epsilon_0}{2} \int E^2d^3r##


    3. The attempt at a solution
    I'm just looking for the correct set up
    ##U=\frac{\epsilon_0}{2} [\int_0^R (k\frac{r^2}{4 \epsilon_0})^2d^3r+\int_R^\infty (k\frac{R^4}{4r^2 \epsilon_0})d^3r]##.
     
  2. jcsd
  3. Oct 8, 2014 #2

    Orodruin

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    With the given fields, your setup is fine apart from missing a square of the field for the second integral. Also, do not forget the integrals in the angles.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Finding electrostatic potential
  1. Electrostatic Potential (Replies: 20)

Loading...