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!

Gauss' law problem with sphere

  1. Mar 27, 2008 #1
    1. The problem statement, all variables and given/known data

    In a spherical region, the voltage is measured to be spherically symmetrical, with v=v(r)=wr^p
    a. Find the radial electric field.
    b. Use Gauss’ Law to find the charge enclosed in a sphere of radius r.
    c. Find the charge enclosed by a sphere of radius r+dr.
    d. Find the differential charge enclosed in the annular region between two concentric spheres of radii r and r+dr.
    e. Find the differential volume of the annular region between two concentric spheres of radii r and r+dr.
    f. Find the charge density, rho=rho(r)=?


    2. Relevant equations



    3. The attempt at a solution
    i am pretty sure that part a would be v(r)= - integral E(r) dr. so the radial electric field would be -Pwr^(p-1)

    i am confused on how to do the rest. any help/hints would be appreciated.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 27, 2008 #2
    Well what does gauss' law state?
     
  4. Mar 27, 2008 #3
    Gauss' law states that the flux of the electric field is equal to Q/epsilon0.

    my question then is how do i relate that to the given statement v(r)=wr^p?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Gauss' law problem with sphere
Loading...