Consider a cube with one corner at the origin
and with sides of length 10 cm positioned
along the xyz axes. There is an electric ﬁeld
E= (18, 235y, 0)
through the region that has a constant x component and a y component that increases linearly with y. Start by drawing a diagram showing ˆn and E~ for each side of the cube.
How much change is inside the cube?
flux = integral (E * dA)
flux = Q/epsilon nought
The Attempt at a Solution
Tried integrating from 0 to 10 for the E to find change in the electric field
then set Q/A = integral (E * dA)
However, I don't know how to integrate it cause I don't know what the direction of dA is in this case. Is dA same direction as E? Also, what AREA do I use? I know its the surface area but idk what the proper area would be for flux going through a cube :/