Electromagnetic scattering from axisymmetric conducting bodies coated with thin materials of arbitrary thickness is considered and numerical results are obtained. The formulation presented for the coated conductor problem is based on existing E-PMCHW formulations for coated objects. This formulation is valid both for thick coatings and as the coating thickness approaches zero. Other existing surface integral equation implementations have been observed to fail for thin coatings. Two simple modifications are suggested for existing numerical codes to make them applicable for thin coatings. Several numerical examples are presented. The numerical solution is verified by comparison with the exact solution for a coated sphere.