1. Limited time only! Sign up for a free 30min personal 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!

Calculating Divergence With Spherical Coords

  1. Sep 12, 2010 #1
    1. The problem statement, all variables and given/known data

    Calculate div v.

    v= r sin(θ) r + r sin(2θ) cos(φ) θ + r cos(2θ) φ.


    2. Relevant equations



    3. The attempt at a solution

    I've never had to do a problem like this using spherical coords, so I am not sure where to start. I have the general formula though.
     
  2. jcsd
  3. Sep 12, 2010 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    What you've shown is not a vector. I'm guessing you omitted putting hats on some of the symbols, like [tex]\hat r[/tex]. But if you have the formula for a gradient in spherical coordinates, just use it. Find the functions in front of [tex]\hat r[/tex], [tex]\hat \theta[/tex] and [tex]\hat \phi[/tex] and use it.
     
  4. Sep 12, 2010 #3
  5. Sep 12, 2010 #4

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Some parts are right. You got some extra hats hanging around. The divergence should be a scalar, right? It shouldn't have any vector parts. And you haven't expanded your derivatives yet.
     
  6. Sep 12, 2010 #5
    Thank you for responding.
    I was still working on it, I just wanted to see if I was on the right track. What about now?
     

    Attached Files:

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Calculating Divergence With Spherical Coords
Loading...