An insulated spherical shell with its center in the origin and radius R has a surface charge density of [tex]\sigma(\theta)=\sigma_0\sin(\theta)[/tex] when [tex]\theta[/tex] is the angle from the z axis. Calculate the electrical field outside the shell at point z=R.
The Attempt at a Solution
I tried first calculating the overall charge of the spherical shell:
However, I don't see how Gauss's Law can help me find the electrical field at that specific point.