An inductive transducer apparatus for testing metallic objects using Pulsed Eddy Current topology. The Apparatus includes a transmitter coil, a receiver coil, and a hybrid core. The hybrid core has a high saturation point which allows the transducer to generate a strong initial magnetic field that may further induce strong eddy currents on the surface of the target capable of penetrating deep into metallic objects under inspection. The hybrid core also has a high permeability which enhances the transducer's sensitivity and allows to maintain high signal-to-noise-ratio and of the received signal associated with Eddy Current magnetic field decaying, thus enhancing the system's performance in environments where reliable quantitative analysis of flaws located deep underneath the surface of metal objects is required. A linearity compensation method may be applied to further enhance the performance of the system.