We present measurements of the magnetization and the levitation force of va
rious superconducting rings made of melt textured YBa2Cu3Ox. We compare the
measurements on the rings to those when a slit is cut into them. The slit
prevents shielding currents from forming complete loops around the perimete
r of the rings. For most small rings used for the magnetization measurement
s (5 mm diameter or less), the slit reduces the magnetization according to
Bean's model. For some rings, however, this decrease was much smaller that
the theoretical value. Consistently, however, magneto-optical images reveal
ed the presence of weak, links cutting across those rings. The larger rings
used for the levitation experiments (20 mm diameter) were not of the same
quality, i.e., the ratio of the levitation force before and after the slit
was cut was below the theoretical value for all rings investigated. Because
of their large size, magneto-optical images of those rings could not be ta
ken. It is very likely that these larger rings have weak links which preven
t large-diameter circulating shielding currents. (C) 1998 Published by Else
vier Science B.V. All rights reserved.