Studies of the propagation of a n AC magnetic field through plasma sprayed superconducting Y,Ba,Cu,O,., coatings have been carried out in t h e incident field frequency and intensity ranges 100 Hz to 100 kHz and 0.01 to 3.5 mT respectively. Results show that the shielding effectiveness increases exponentially with decreasing field intensity. Shielding effectiveness increases with coating thickness and its density. Coatings thinner than 100 ,pm do not show any shielding. A non-linear dependence of critical magnetic fieid H* on both thickness and critical current density J, of the specimen has been observed.