In this study, an FEM code based on a critical state model is used to further understand the electromagnetic behaviour of Yb211‐doped Sm123 bulk superconductor by calculating the current and magnetic field distributions in doped samples both in uniform and non‐uniform external field conditions. The results of magnetization loops from the numerical modelling have been compared with experimental results and they show a good match. In the numerical calculation result, the highest trapped field value, Bz, is 0.49 T for x = 0.25. In addition, the value of Bz trapped field in a non‐uniform applied field is calculated as 18% larger than in uniform applied field and the current density of samples as a function of radius increase particularly at the sample edge with a non‐uniform applied field for the x = 0.25 sample. It can be said that this numerical method will be a useful candidate to get an easy solution to many electromagnetic problems of doped‐superconductor with complex geometries and in different field conditions as the performed numerical study is successful in clarifying magnetization, trapped field and pinning properties of Yb211‐doped Sm123 superconductor.