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!

Homework Help: Vector Calc Homework Help! Divergence Free Vector Fields

  1. Dec 6, 2009 #1
    1. The problem statement, all variables and given/known data
    Let S be the ellipsoid where a,b, and c are all positive constants.
    x2/(a+1)+y2/(b2)+z2/(c2) = 1

    → → → → →
    Let F = (r - ai) / ||r - ai|| [* r and i are vectors = I tried inserting the arrows]

    a)Where is F undefined?
    b)Find divF at points where divF is defined.
    c) Find ∫s F dA.

    2. Relevant equations
    Divergence theorem

    3. The attempt at a solution
    I know that the divF=0 making it a divergence free vector field, but I am not sure how to solve for the flux through the ellipsoid.

    I really would like to understand the actual concept of divergence free theorems and a step by step explanation would really help.

    Thanks for your time and help!
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted