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The singular integral equation solution due to L. Lewin and his colleagues for the E-plane step-diaphragm junction discontinuity are extended by the conservation of complex power technique (CCPT). The singular integral equation method provides formulas for the junction susceptance (both with and without a diaphragm) which are valid only in the quasi-static limit. In contrast, the CCPT provides numerical solutions for larger guides. It is applied to a step with a diaphragm of nonvanishing thickness.