14.1: Numerical Constants
- Page ID
- 25047
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Fundamental Constants
c | velocity of light | 2.998 × 108 m/s |
\(\varepsilon_{\mathrm{o}}\) | permittivity of free space | 8.854 × 10-12 F/m |
\(\mu_{\mathrm o}\) | permeability of free space | 4\(\pi\) × 10-7 H/m |
\(\eta_{\mathrm o}\) | characteristic impedance of free space | 376.7 \(\Omega\) |
e | charge of an electron, (-e.v./Joule) | -1.6008 × 10-19 C |
m | mass of an electron | 9.1066 × 10-31 kg |
mp | mass of a proton | 1.6725 × 10-27 kg |
h | Planck constant | 6.624 × 10-34 J⋅s |
k | Boltzmann constant | 1.3805 × 10-23 J/K |
No | Avogadro’s constant | 6.022 × 1023 molec/mole |
R | Universal gas constant | 8. 31 J/mole⋅K |
A.2 Electrical Conductivity σ, S/m
Silver | 6.14 × 107 | Monel | 0.24 × 107 |
Copper | 5.80 × 107 | Mercury | 0.1 × 107 |
Gold | 4.10 × 107 | Sea Water | 3 – 5 |
Aluminum | 3.54 × 107 | Distilled Water | 2 × 10-4 |
Tungsten | 1.81 × 107 | Bakelite | 10-8 – 10-10 |
Brass | 1.57 × 107 | Glass | 10-12 |
Nickel | 1.28 × 107 | Mica | 10-11 – 10-15 |
Iron (pure) | 1.0 × 107 | Petroleum | 10-14 |
Steel | 0.5 – 1.0 × 107 | Fused Quartz | <2 × 10-17 |
Lead | 0.48 × 107 |
Relative Dielectric Constant ε/εo at 1 MHz
Vacuum | 1.00 | Vycor glass | 3.8 |
Styrofoam (25% filler) | 1.03 | Low-loss glass | 4.1 |
Firwood | 1.8 – 2.0 | Ice | 4.15 |
Paper | 2.0 – 3.0 | Pyrex glass | 5.1 |
Petroleum | 2.1 | Muscovite (mica) | 5.4 |
Paraffin | 2.1 | Mica | 5.6 – 6.0 |
Teflon | 2.1 | Magnesium silicate | 5.7 – 6.4 |
Vaseline | 2.16 | Porcelain | 5.7 |
Rubber | 2.3 – 4.0 | Aluminum oxide | 8.8 |
Polystyrene | 2.55 | Diamond | 16.5 |
Sandy soil | 2.6 | Ethyl alcohol | 24.5 |
Plexiglas | 2.6 – 3.5 | Distilled water | 81.1 |
Fused quartz | 3.78 | Titanium dioxide | 100 |
Relative Permeability μ/μo
Vacuum | 1 |
Biological tissue | 1 |
Cold steel | 2,000 |
Iron (99.91%) | 5,000 |
Purified iron (99.95%) | 180,000 |
mu metal (FeNiCrCu) | 100,000 |
Supermalloy (FeNiMoMn) | 800,000 |