Stokes theorem

  • #1
hi experts
as far I know the stokes theorem relates surface integral to line integral - but i am confuse how surface integral if represent area gets equal to length as represented by line integral.
 

Answers and Replies

  • #2
299
20
If the vector field F has units u, then the integral of F over a curve has units u*length. Stokes's theorem says that this is the same as the integral of ∇×F over a surface. ∇×F has units of u/length (since each of the partial derivatives does), so the integral of that over a surface has units u/length * length^2 = u*length - just as the integral of F over a curve does. Does that help?
 
  • #3
great - thanks alot
 

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