Appendix D

Physical Constants and Material Parameters

Throughout the text we have used several physical constants, such as the velocity of light in free space. In the examples we have been using non-perfect electrically conducting metals such as copper and have used dielectric materials. For convenience, in this appendix we have grouped the physical constants used in this book and have provided a list of material properties frequently encountered.

The physical constants used frequently within this book are

  • permittivity of free space: ε0 = 8.854 · 10−12 Fm−1
  • permeability of free space: μ0 = 4π · 10−7 Hm−1
  • velocity of light in free space: c0 = 2.998 · 108 ms−1
  • impedance of free space: η0 = 376.7 ≈ 120πΩ

The electrical conductivities of some commonly used metals and liquids at room temperature are given in Table D.1.

Table D.1 Electrical conductivities of some common metals and fluids

Material Conductivity Sm−1
aluminum 3.816 · 107
copper 5.813 · 107
gold 4.098 · 107
iron 1.03 · 107
lead 4.56 · 106
nickel 1.449 · 107
stainless steel 1.1 · 106
solder 7.0 · 106
distilled water 2 · 10−4
sea water 4

The dielectric constants and loss tangents of some materials are given in Table D.2 [1–3].

Table D.2 Dielectric constants and loss tangents of some materials

Material Relative Permittivity εr Loss Tangent tanδ
FR4 (3 GHz) 4.28 0.016
glass Pyrex (3 GHz) 4.82 0.0054
plexiglas (3 GHz) 2.60 0.0057
polyethylene (10 GHz) 2.25 0.0004
polystyrene (10 GHz) 2.54

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