Find the Electrostatic Field at a distance z above the xy-plane and along the z-axis due to a constant surface charge σ confined to the region a < √(x2+y2) < b, 0 < α < pi/2.
In other words, find the Electric Field a distance z above a quarter disk occupying the region between the positive x and y axes from r = a to r = b.
2. Known Equations
E = kq/r2
dq = σdA
dA = pi/2 * r' *dr'
r = √(r'2+z2)
3. Attempt
The lack of symmetry is what loses me in this question. I know I need to set up tiny quarter rings and then integrate from A to B but I don't know what to do about the vector notation.