## The Best answer for Electric Flux Physics Problem!?

Let's call -5.02 N/(C m) = a and 3.04 N/(C m) = b, so

E = a x i + b z k

S1: only the x component, but x=0 everywhere on that surface: flux = Surface-integral = 0

S2: only the z-component "pierces"through there, and since z=L on that surface: Surface_integral = b L * L^2 = b L^3

S3: same as S2 but with only x-component and x = L there => a L^3

S4 (bottom) : only z-component of field pierces, but z=0 there, so : 0

S5 and S6 would need a y component of the field, but since that's zero: 0

adding these contributions gives: (a + b ) L^3, and according to Maxwell's first theorem in integral form:

Q = eps0 (a+b) L^3.

You can plug in the numbers (remember that a is a negative number..)

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