See attached file for proper format of formulas.
2. An infinite cylinder of radius a, with dielectric constant 0 has its axis along the z-axis. There is a uniform electric field 0 a large distance from the cylinder.
(a) Find the electric field everywhere inside and outside the cylinder.
(b) Find the bound charge density on the surface of the cylinder
(c) Draw a field line diagram showing the electric field everywhere.
With full formulas, calculations and explanations, the problem is solved.