1. The problem statement, all variables and given/known data Consider a sphere centered at origin with radius R > z0. By calculating the total flux ϕ = ∫E . da through the sphere, explicitly show that ϕ = q/ϵ0 2. Relevant equations Gauss's Law 3. The attempt at a solution I have a general idea of what to do, but I just want to make sure I don't screw up from the start. I think that I have to do a surface integral. The instructions say to integrate over spherical coordinates. I'm just confused because I usually think of spherical coordinates as 3 dimensions, but a surface integral is 2-D. I figured that I would change dA into r^2 sinθ dr dϕ dθ, and integrate from there. I'd use 0 to R for radius, 0 to 2∏ for ϕ, and 0 to pi for θ. I figure you can take E out of the integral because it is constant and always normal to the Surface Area. Am I on the right track with this one?