Gauss's Law, cylindrical symmetry. An infinitely long cylindrical shell (hollow inside!) of radius b and a uniform surface charge density is placed in free space. a. Using Gauss's Law find the...

Gauss's Law, cylindrical symmetry. An infinitely long cylindrical shell (hollow inside!) of radius b and a uniform surface charge density is placed in free space. a. Using Gauss's Law find the electric field inside and outside the cylindrical shell (i.e. for r b) and then calculate the electric potential V inside and outside the shell by performing the line integral of the electric field if the potential at the shell surface is zero. (Remember that we generally use infinity as the reference zero potential, but here assume the shell surface is grounded) b. Plot both the Electric field E and the electric potential V as a function of . Vrom -0 to large enough to show the overall behavior)