This paper presents a new model for designing on-chip spiral inductor and on-chip spiral transistors. For this, the coupling between on-chip inductors and transistors has been implemented. The electromagnetic coupling
between the inductors and the transistors and the mutual inductance are modeled by presenting the magnetic vector potential to study the coupling effect. It changes the surface integral of the magnetic field into the loop
integral of the magnetic vector potential to calculate the coupling. In this method, the partial mutual inductance idea to compute the mutual inductance between two conductor sections instead of conductor loops can be
developed. The inductance classification is applied to an on-chip environment to characterize interconnects and integrated inductors. The investigative model is reconsidered to incorporate the semiconductor substrate losses and the skin effect. The numerical solutions of the investigative model are also presented. To simulate the proposed model ADS Momentum software is used.