This study explores the influence of lateral electric fields and dimensionality on the physical properties of core/shell quantum disks subjected to a finite confinement potential. By solving the Schrodinger equation using the finite elements method within the effective mass approximation, we investigate the impurity polarizability, diamagnetic response, and dipole moment of the nanostructure. Our findings highlight the substantial impact of these parameters on the physical properties, which are optimized through excitation adjustments. We observe that the electron-impurity mean distance, polarizability, and diamagnetic response exhibit significant changes under the influence of the geometrical confinement regime either weak or strong, the orientation of the applied electric field either positive or negative, and the inner and outer radii of the core/shell. These observations demonstrate the potential for decreasing and/or improving these properties. The insights gained from this study provide crucial knowledge for advancing nanoelectronic devices. By optimizing the impurity polarizability, diamagnetic response, and electron-impurity mean distance in core/shell quantum disks under lateral electric fields, the sensitivity and detection capabilities of these sensors can be significantly improved.