Apply Guass's Law to an infinitely long insulator that is a cylinder of Radius R and Planiform volume charge distribution $+$ rho when the distance is rR$.$ Show your complete work including the sketch of the cylinder along with gaussian surface indicating the direction of the electric field and area vectors at the gaussian surface. Sketch the E vs r graph and the V vs r graph. Apply gauss's law to two parallel infinitely large conducting plates that are oppositely charged with a surface charge density of sigma. Find the E at a position between the two plates. Find an expression for the electric field outside of the two plates. Sketch the E vs x graph and the V vs x graph.