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Flux through sphere NOT centred at origin

  1. Feb 6, 2012 #1
    1. The problem statement, all variables and given/known data
    Let's say the sphere has a radius of 3 and is centred at (3, 0, 3). Is there a way to implement spherical cooridnates, or is it essentially impossible for this situation to not get messy? I have searched everywhere as to how I can evaluate this, but to no avail. Any help is greatly appreciated.
     
  2. jcsd
  3. Feb 6, 2012 #2

    LCKurtz

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    Try translating the origin. If the sphere is centered at (a,b,c) try$$
    x = a+\rho \sin \phi \cos\theta$$ $$
    y = b +\rho \sin \phi \cos\theta$$ $$
    z = c +\rho\cos\phi$$This will give you the usual formua for ##d\vec S##. ##\rho## would be the constant radius of the sphere.
     
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