The applications of the HTc superconductors in electricity depends among other on the current capability of the superconducting materials, especially in the form of wires and tapes. In the paper is investigated the influence of the electromagnetic interaction of the vortices with the nano-sized pinning centers on the critical current of HTc superconductors. The capturing interaction is considered taking into account the change in the free energy density arising during the motion of pinned vortex against it's equilibrium position. The influence of the pinning interaction on magnetic induction distribution and flux trapped is considered too for ceramic HTc superconductors.