Transport critical current density t J c is investigated as a function of the external magnetic ®eld perpendicular to a sample surface, and the trapped magnetic ®eld and magnetisation in a remanent state after a removal of external ®eld are also investigated at 77 K on screen-printed Ag-Bi2223 composite tape. The hysteresis behaviour in t J c between increasing and decreasing ®elds is observed in a zero-®eld-cooled sample and explained by the in¯uence of trapped magnetic ¯ux in the grains on intergranular (transport) current. Such hysteresis in t J c causes decreases in the trapped ®eld and in magnetisation with increasing f à ex , de®ned as the maximum ®eld in a ®eld loop for measuring t J c values. The experimental results give the full ¯ux penetration ®eld f p for the grains to be nearly equal to 9 mT. The use of a critical state model and the value of f p 9 mT results in the intragranular critical current density t G c being $5000 A/mm 2 , which is about 50 times higher than the transport current density ($85 A/mm 2 at 77 K and self-®eld) of the sample. The study shows that strong pinning in the grains does not lead to a high transport critical current density unless further improvement for grain connectivity is made.