The dielectric measurements of a weakly polarized nematic liquid crystal (D6AOB) were carried out in the frequency range 100 Hz to 40 MHz and in the voltage range from 0 to 40 V at 100 Hz. The dielectric data were measured for two principal alignments, homeotropic and planar. The angle β between the long molecular axis and dipole moment of the molecules is calculated from Cole-Cole plots using Onsager theory, both for pure and doped liquid crystal. Here is an attempt to discuss the Δϵ v/s voltage on the basis of piezoelectric strain, which is in good agreement with experimental results.