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 μ_{0} has the following inductance:

(B.1)

where

(B.2)

(B.3)

If inhomogeneous current density across the conductor cross section is to be considered, an additional expression is found in [1].

The single-loop inductor is illustrated in Fig. B.1 where the total angular rotation, ϕ_{0}, is somewhat less than 360°. The inductance is found by numerical integration of the following equation:

where

The values for r_{1} and r_{2} below are replaced by r_{i} and r_{o} as specified by Eq. (B.5):

(B.6)

(B.7)

The inductance of a circular ...