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Appendix B Analytical Spiral Inductor ModelRadio Frequency Circuit Design. W. Alan Davis, Krishna Agarwal Copyright 2001 John Wiley & Sons, Inc. Print ISBN 0-471-35052-4 Electronic ISBN 0-471-20068-9

APPENDIX B

Analytical 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 , and in a material of permeability 0 has the following inductance: LD where ln D 25 12 C 2c D
1 w 6 t
0l

2

ln

2l

1


B .1

2

2c

ln

1C

t w

2

w C t

2

ln

w 1C t

2



2 w t arctan 3 t w w2 C t2

C

t w arctan w t

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 angul