The temperature dependence of the microwave surface impedance and conductiv
ity are used to study the pairing symmetry and properties of cuprate superc
onductors. However, the superconducting properties can be hidden by the eff
ects of paramagnetism and antiferromagnetic long-range order in the cuprate
s. To address this issue we have investigated the microwave electrodynamics
of GdBa2Cu3O7-delta, it rare-earth cuprate superconductor which shows long
-range ordered antiferromagnetism below T-N=2.2 K, the Neel temperature of
the Gd ion subsystem. We measured the temperature dependence of the surface
resistance and surface reactance of c-axis oriented epitaxial thin films a
t 10.4, 14.7 and 17.9 GHz with the parallel plate resonator technique down
to 1.4 K. Both the resistance and the reactance data show an unusual upturn
at low temperature and the resistance presents a strong peak around TN mai
nly due to change in magnetic permeability.