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Integrating across circular surface

  1. Sep 22, 2013 #1
    1. The problem statement, all variables and given/known data
    Hi

    I am looking at a circle in a Cartesian coordinate system [itex](x, y, z)[/itex], with center at the point [itex](0, 0, L)[/itex] and radius R (so the z-axis is normal to the surface of the circle). From the origin (0, 0, 0), I would like to integrate across the circular surface, i.e.
    [tex]
    \int_{0}^{\arctan(R/z_0)}{d\theta}\int_{0}^{2\pi}{d\phi}
    [/tex]

    If I instead of integrating from a point at the origin now integrate from a circle with radius R'<R (also normal to the z-axis), how would the above integrals be generalized?
     
  2. jcsd
  3. Sep 23, 2013 #2

    tiny-tim

    User Avatar
    Science Advisor
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    Hi Niles! :smile:
    Sorry, I don't understand what you mean by "integrate from a circle". :confused:
     
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