Name:

$3.(10$ points$)$ A uniformly charged isolated conducting sphere of $1\mathrm{.}2$ m diameter has a surface charge density of $8\mathrm{.}1\frac{C}{m^2}.$ Use Gauss's Law $($properly$)$ to calculate each of the following $($remember to define a Gaussian Surface for each case$)$: $($Show your entire work for full credit$).$

a$.$ Calculate the electric field inside the sphere.

b$.$ Calculate the total electric flux leaving the surface of the sphere.

c$.$ Calculate the electric field outside the sphere.