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Curl of field in cylindrical coordinates

  1. Sep 17, 2013 #1

    FOIWATER

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    I am asked to compute the Curl of a vector field in cylindrical coordinates,

    I apologize for not being able to type the formula here I do not have that program.

    I do not see how the the 1/rho outside the determinant calculation is being carried in?

    Not for the specific problem - but for curl in other coordinates in general.

    1/rho det(arho rho*bphi cz
    d/drho d/dphi d/dz
    Arho rho*Atheta Az)

    I'm staring at it a long time, - I don't see how it expands as it does..

    Any help appreciated.
     
  2. jcsd
  3. Sep 17, 2013 #2

    rude man

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    How did you come by a 1/r outside the determinant?

    The determinant for computing curl A is

    1r/r 1ψ k/r
    ∂/∂r ∂/∂ψ ∂/∂z
    Ar rAψ Az

    I used r instead of rho and ψ instead of phi since phi is not available on the PF symbol table.

    There is no 1/r term in front of the determinant.
     
  4. Sep 17, 2013 #3

    FOIWATER

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    There is for cylindrical coordinates

    At least in most things I have come across

    I am referencing the 5th edition of "elements of electromagnetics"
     
  5. Sep 18, 2013 #4

    rude man

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    What I gave you and what you said are the same thing. Your version brings 1/r outside the determinant, then multiplies all my terms by r. It's a dumb way of giving the determinant in my opinion, but it's correct also.

    What did you say was your problem with it again? I couldn''t figure out what your confusion is.
     
  6. Sep 18, 2013 #5

    FOIWATER

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    Only the row by which cofactors are expanded, though?
     
  7. Sep 18, 2013 #6

    FOIWATER

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    nvm I understand it now, thanks
     
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