Integrating across circular surface

  • Thread starter Niles
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  • #1
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Homework Statement


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?
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Hi Niles! :smile:
If I … integrate from a circle …

Sorry, I don't understand what you mean by "integrate from a circle". :confused:
 

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