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Gauss' Law for a Nonuniform Field

  1. Dec 12, 2015 #1
    1. The problem statement, all variables and given/known data
    A closed rectangular surface with dimensions a = b and c where the faces perpendicular to the field are a*b. The left edge of the closed surface is located at position x = a, for c > a.The electric field throughout the region is nonuniform and given by E = 3*x xhat N/C,
    2. Relevant equations
    Flux = Integral of E(dot)dA = qenclosed/Epsilon0

    3. The attempt at a solution
    I'm just wondering about how this works, if there is no enclosed charge, then there shouldn't be a net flux.

    I'm pretty sure the flux at one end is greater as it reaches the x = c face than at x = a, is it possible to have a nonzero net flux?
     
    Last edited: Dec 12, 2015
  2. jcsd
  3. Dec 12, 2015 #2
    Conclusion: there is charge in the box.
     
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