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Stoke's theorem of hemisphere

  1. Dec 24, 2016 #1
    1. The problem statement, all variables and given/known data
    In the first and second photo , it's stated earlier that the C is the boundary of surface on xy plane , but in the question in the 3rd picture , it's not stated that the C is on which surface , so , how to do this question ?
    For ∫F.dr , i am not sure how to get r , coz i am not sure i should to use which surface as 2d projection .
    In the first photo , it's stated earlier that C is on xy-plane , so xy - plane projection is used.
    In the solution provided in the 4th photo , the author use xy plane projection , is the concept correct ?

    2. Relevant equations


    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Dec 24, 2016 #2

    haruspex

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    Not an area I know, but it looks to me that you can define C as the boundary in xy plane and that allows you to apply Stokes' theorem.
     
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