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Homework Help: Flux across a sphere

  1. Mar 13, 2013 #1
    1. The problem statement, all variables and given/known data

    Let F(x,y,z)= a^2 xi+(y/a)j +az^2k and let sigma be the sphere of radius 1, centered at the origin and oriented outward. Find all values of a such that the flux of F across sigma is 10.

    2. Relevant equations

    Stokes Theorem

    Gauss's Theorem


    3. The attempt at a solution

    How would you solve this problem?
  2. jcsd
  3. Mar 13, 2013 #2


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    Science Advisor
    Homework Helper

    I would use the Divergence Theorem, also known as Gauss's Theorem. I don't think you will find any values of a that work unless there's a typo in the problem statement. What's your conclusion?
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