The electromechanical behaviour and frequency response of the human cochlear have been described to be mimicked using an array of resonant gate transistors (RGT). Presented in this paper are the mathematical model, geometrical analysis and novel design of RGT, employed for the physical model development of the cochlea. In an array of RGTs, the aluminium bridge gate structures with length of 0.57 mm-1.62 mm transduce the sound input signal into mechanical vibrations at audible frequency range of 1 kHz-8 kHz. The channels underneath the bridge gates transduce the mechanical vibrations into small signal drain currents with reasonable estimated sensitivity of 4 nA/Pa-17 nA/Pa. The gain amplification and resonant frequency reduction of RGT with respect to the voltage applied onto the bridge gate structure highlight the adaptive characteristics of a human cochlear. The proposed modelling approach can aid the fabrication design of RGT for cochlear model.