Suppose that we have an infinite cylindrically symmetric rod whose outer radius is R whose charge density is p = p0s/R for s < R and zero for s > R, where s is the distance from the rod's axis (note that this charge density increases linearly from zero at s = 0 to p0 at the rod's surface s = R and then drops abruptly to zero). Find the electric field both inside and outside the rod. (Hint: the answer outside is Es = p0R2 / 3ε0s)

Suppose that we have an infinite cylindrically symmetric rod whose outer radius is R whose charge density is p = p0s/R for s < R and zero for s > R, where s is the distance from the rod's axis (note that this charge density increases linearly from zero at s = 0 to p0 at the rod's surface s = R and then drops abruptly to zero). Find the electric field both inside and outside the rod. (Hint: the answer outside is Es = p0R2 / 3ε0s)