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.
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!