1. The problem statement, all variables and given/known data If a dielectric cylinder, say radius R, is placed with its axis parallel to a uniform electric field. What effect will it have on the field? Picture is included which makes it a bit clearer 2. Relevant equations 3. The attempt at a solution I know that the D-field should be continuous over the z boundary because there is no free surface charge, so the E-field inside the cylinder should be the same as that on the outside but less by a factor of epsilon (permittivity of the cylinder). Therefore the polarization in the cylinder is along the z-direction, this means there is no bound charge on the curved surface of the cylinder (because the polarization is perpendicular to the surface vector) and therefore the field outside the cylinder (at r>a) is still E0. Is this correct? Is there anything I've missed in this anaylsis?