APPENDIX BAnalytical Spiral Inductor Model
Modeling equations for spiral inductors given in [1, 2] are collected here for convenience. A straight line of length l, width w, thickness t, resistivity ρ, and in a material of permeability μ0 has the following inductance:
If inhomogeneous current density across the conductor cross section is to be considered, an additional expression is found in .
The single-loop inductor is illustrated in Fig. B.1 where the total angular rotation, ϕ0, is somewhat less than 360°. The inductance is found by numerical integration of the following equation:
The values for r1 and r2 below are replaced by ri and ro as specified by Eq. (B.5):
The inductance of a circular ...