The superconducting compound ( Pb_1-xCd_xBa₂Ca₂Cu₃O_{9+ δ} ) was prepared using the solid- state reaction (SSR) method as it is the most common method in the preparation of superconducting compounds, where the study was carried out at addition weights (x=0,0.15) to observe the effect of replacing lead with cadmium and the effect of this replacement on both the characteristics and behavior of the samples in terms of electrical resistance and critical temperature, where all samples displayed superconducting behavior. In this research, both the critical temperature of the compound and the dielectric properties of the compound (imaginary dielectric constant, real dielectric constant, alternating electrical conductivity, and loss tangent) were investigated as a function of frequency from the range (200 KHz-1 MHz) at room temperature, and the atomic force microscope (AFM) was also used to know the surface topography and surface roughness. The results of the atomic force microscope examination showed exceptional consistency and homogeneity of the processing flexure as a result of the chemical reaction between the raw materials where the grains were bonded to each other, and the temperatures were monitored at zero, resistivity was observed at Tc_(offset)  (147.3,146.9) K and Tc_(onset)  (200.25,198.92) K for both the addition ratio of (x=0,0.15), and the examination also showed that the surface roughness was medium. The results of the dielectric constant of the samples showed a change in the values of the real and imaginary dielectric constant, dielectric loss, and conductivity with the change of frequency magnitude from (200 KHz-1 MHz) for all samples used.