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Homework Statement
Please help me to solve this assignment.
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a) A vector field is given by v(x,y,z) = (y, x, z-x).
Calculate the flux from this field out of the unit cube, given by x,y,z = [0,1].
b) Use Gauss's theorem to calculate the same flux. Check that you get the same result.
Homework Equations
Electric Flux: Φ = E. A .cosθ
Electric Flux: Φ = ∫ E. dA = Qencl / ε
The Attempt at a Solution
For part a) one can calculate ∫∫ v . n dxdy, where n is the unit normalvector for the surface A, for each cube faces and add them together.