This paper proposes a circuit model to calculate the current along printed coils used in Resonant Wireless Power Transfer. It considers a system composed of a metamaterial and two coplanar coils, transmitter and receiver, respectively. First, a circuit model for the system is presented. Then, an analytical model is proposed to calculate the self-inductance of printed inductors, their characteristic resistance, and the mutual inductance between coils. The proposed formulation for calculating the mutual inductance between inductors is based on Neumann’s formula. The practical results validate the model precision, obtaining a maximum deviation of approximately 8%, 3%, and 3%, respectively. Due to the generality of this approach, it can also be applied to more complex structures such as metasurfaces. The proposed 3-D models proved to be ideal for modeling the printed inductor. Furthermore, this model proved to be computationally more efficient for analyzing large systems when compared to commercial full-wave simulation software, with a reduction in the computational time larger than three orders of magnitude.