Measurements of the temperature dependence of the rf electrical impedance o
f YBa2Cu3O7 epitaxial films of 0.25, 0.5 and 1.0 mum thickness are reported
. The contactless 2 MHz ac measurements yield both the real and the imagina
ry parts of the impedance. The temperature dependence of the real part of t
he impedance shows a peak in the resistance just below T-c for all the samp
le thicknesses, and we interpret this as being due to a Kosterlitz-Thouless
(K-T) transition. The imaginary part gives the change in the kinetic induc
tance. From an analysis of the data near the K-T transition temperature an
effective superconducting thickness of the sample is determined.