The authors' modified diffraction coefficient, previously used to compute the higher-order edge-edge interaction terms in the 2-dimensional diffraction by narrow slits and circular apertures, is used to solve for the scattering by a narrow conducting strip. By comparison with the results of Keller, Yu and Rudduck, and the exact solution, it is shown that the coefficient may be used with confidence for evaluating the backscattering cross-section, echo width and diffraction pattern of the strip.