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In this paper, an axial symmetric model is constructed to investigate the electrical contact characteristics of YBCO bulk with silver deposited on the contact surface. In order to calculate the thermal-electromagnetic coupling characteristics near the contact spot, a series expression is derived to describe the quenching behavior of YBCO bulk based on the power law and Kim model and a detailed thermal-electromagnetic coupling process is presented according to the physical quenching process of YBCO bulk. During the calculation, the thermal field, the electrical field, and the self-magnetic field are coupled with each other. The calculated contact resistances are compared with the experimental ones. Agreements between them verify the effectiveness of the axial symmetric model. At last, a detailed description about the contact resistance changing from the low-impedance state to the high-impedance state is given based on the calculated field distributions. This work could be helpful to further understanding the electrical contact characteristics of YBCO bulk.