surface integral of vector field

dimanche 13 juillet 2014

1. The problem statement, all variables and given/known data

find ∫E.dS, where E = (Ar^2, Br (sinθ),C cosρ), over the outside conical surface S, given by 1≤r≤2, θ=[itex]\pi[/itex]/3 (this is an open surface, excluding the end faces).





2. Relevant equations







3. The attempt at a solution



from the context I believe ρ is the plane polar angle on the x-y plane.



expressing S in the vector v = ([[itex]\sqrt{3}[/itex]r cosρ/2, [[itex]\sqrt{3}[/itex]r/2 sinρ, r/2

1. The problem statement, all variables and given/known data







2. Relevant equations







3. The attempt at a solution





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