An infinitely long cylinder or radius R carries a uniform charge density of rho_0 C/m3. (a) Find the electric field in all of space and sketch the result. (b) For R=1.0 mm and rho_0= 1.0x10-6 C/m3, what is the value of the field at the surface of the charged cylinder? (c) What is the acceleration of an electron placed just above the surface of the cylinder? To solve the problem, consider a cylindrical Gaussian surface or radius r centered on the axis of the charged cylinder of unit length. ε0=8.854187817…x10-12 N m2/C2, e=1.6x10-19 C, me=9,11x10-31 kg