The problem considered is that of determining the induced current on, and field scattered by, a two-dimensional, flat, perfectly electrically conducting strip, which is edge loaded by a dielectric cylinder of circular cross-section. The strip is orientated radially with respect to the centre of the cylinder, and can be located outside, inside, or partially inside and partially outside the cylinder. The structure is excited by a plane-wave polarised transverse magnetic to the cylinder axis. A system of two coupled integral equations is derived for the current density on the strip in the presence of the cylinder, and is solved numerically by the method of moments. A series acceleration technique is devised to improve the convergence of the series incorporated in the kernels of the integral equations. Sample results are presented which illustrate how the current induced on the strip, the far field, and the radar cross-section are affected by the presence of the dielectric cylinder.