A Student's Guide to Maxwell's Equations
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Problem 1.2

boxA cube of side L contains a flat plate with variable surface charge density of σ = -3xy.  If the plate extends from x = 0 to x = L and from y = 0 to y = L, what is the total electric flux through the walls of the cube?

 

 

Give me a HINT or show me THE FULL SOLUTION!