The bulk (Tl_{0.5}Pb_{0.5})Sr_2(Ca_{1 - x}Gd_{x})Cu_2O_{z} superconductors with x = 0.1, 0.2 and 0.3 have unique and very interesting magnetic and electrical properties. In this paper we focused our attention on the superconductor with gadolinium content x = 0.2. We measured the magnetic field dependences of the transport critical currents, the microwave absorption as well as the magnetization for different temperatures. The critical temperature of this sample is T_c = 105.3 ± 0.2 K and the transition width Δ T_{90% - 10%} = 3.6 ± 0.2 K. The critical current of this superconductor is J_c = 1 820 ± 10 A/cm^2 at 77 K. The data were analyzed within the frame of the Bean and Kim models as well as the percolation model.
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