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Math Help - divergence and flux-angle issue

  1. #1
    n22
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    divergence and flux-angle issue

    Hi,
    I require i little bit of help. Please see below in green text to see my issue.thanks.

    use the divergence theorem to find the outward flux of F=12yi+xyj-2zk across the boundary of the region D;the region inside the solid cylinder x^2+y^2≤4 between the plane z=0 and the paraboloid


    for this question i Used ..∫∫∫divFdv


    According to the solutions for this question
    θ varies from 0 to 2pi..
    why?
    if z=0 there would only be half the cylinder..and hence half of 2pi=pi


    Please explain why this is so??
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  2. #2
    MHF Contributor
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    Re: divergence and flux-angle issue

    Hey n22.

    The plane is perpendicular to the cylinder so you should get the full range of the cylinder cross section (0 to 2pi).
    Thanks from n22
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