Search

Text Color

Margin Size

Font Type

Enable Dyslexic Font

14.1: Constantes numéricas

Última actualización

30 oct 2022
Guardar como PDF
- 14: Apéndices
- 14.2: Números complejos y representación sinusoidal

$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$

$\newcommand{\id}{\mathrm{id}}$ $\newcommand{\Span}{\mathrm{span}}$

( \newcommand{\kernel}{\mathrm{null}\,}\) $\newcommand{\range}{\mathrm{range}\,}$

$\newcommand{\RealPart}{\mathrm{Re}}$ $\newcommand{\ImaginaryPart}{\mathrm{Im}}$

$\newcommand{\Argument}{\mathrm{Arg}}$ $\newcommand{\norm}[1]{\| #1 \|}$

$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$

$\newcommand{\Span}{\mathrm{span}}$

$\newcommand{\id}{\mathrm{id}}$

$\newcommand{\Span}{\mathrm{span}}$

$\newcommand{\kernel}{\mathrm{null}\,}$

$\newcommand{\range}{\mathrm{range}\,}$

$\newcommand{\RealPart}{\mathrm{Re}}$

$\newcommand{\ImaginaryPart}{\mathrm{Im}}$

$\newcommand{\Argument}{\mathrm{Arg}}$

$\newcommand{\norm}[1]{\| #1 \|}$

$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$

$\newcommand{\Span}{\mathrm{span}}$ $\newcommand{\AA}{\unicode[.8,0]{x212B}}$

$\newcommand{\vectorA}[1]{\vec{#1}} % arrow$

$\newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow$

$\newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vectorC}[1]{\textbf{#1}}$

$\newcommand{\vectorD}[1]{\overrightarrow{#1}}$

$\newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}}$

$\newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}}$

$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$

$\newcommand{\avec}{\mathbf a}$

$\newcommand{\bvec}{\mathbf b}$

$\newcommand{\cvec}{\mathbf c}$

$\newcommand{\dvec}{\mathbf d}$

$\newcommand{\dtil}{\widetilde{\mathbf d}}$

$\newcommand{\evec}{\mathbf e}$

$\newcommand{\fvec}{\mathbf f}$

$\newcommand{\nvec}{\mathbf n}$

$\newcommand{\pvec}{\mathbf p}$

$\newcommand{\qvec}{\mathbf q}$

$\newcommand{\svec}{\mathbf s}$

$\newcommand{\tvec}{\mathbf t}$

$\newcommand{\uvec}{\mathbf u}$

$\newcommand{\vvec}{\mathbf v}$

$\newcommand{\wvec}{\mathbf w}$

$\newcommand{\xvec}{\mathbf x}$

$\newcommand{\yvec}{\mathbf y}$

$\newcommand{\zvec}{\mathbf z}$

$\newcommand{\rvec}{\mathbf r}$

$\newcommand{\mvec}{\mathbf m}$

$\newcommand{\zerovec}{\mathbf 0}$

$\newcommand{\onevec}{\mathbf 1}$

$\newcommand{\real}{\mathbb R}$

$\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}$

$\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}$

$\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}$

$\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}$

$\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}$

$\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}$

$\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}$

$\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}$

$\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}$

$\newcommand{\laspan}[1]{\text{Span}\{#1\}}$

$\newcommand{\bcal}{\cal B}$

$\newcommand{\ccal}{\cal C}$

$\newcommand{\scal}{\cal S}$

$\newcommand{\wcal}{\cal W}$

$\newcommand{\ecal}{\cal E}$

$\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}$

$\newcommand{\gray}[1]{\color{gray}{#1}}$

$\newcommand{\lgray}[1]{\color{lightgray}{#1}}$

$\newcommand{\rank}{\operatorname{rank}}$

$\newcommand{\row}{\text{Row}}$

$\newcommand{\col}{\text{Col}}$

$\renewcommand{\row}{\text{Row}}$

$\newcommand{\nul}{\text{Nul}}$

$\newcommand{\var}{\text{Var}}$

$\newcommand{\corr}{\text{corr}}$

$\newcommand{\len}[1]{\left|#1\right|}$

$\newcommand{\bbar}{\overline{\bvec}}$

$\newcommand{\bhat}{\widehat{\bvec}}$

$\newcommand{\bperp}{\bvec^\perp}$

$\newcommand{\xhat}{\widehat{\xvec}}$

$\newcommand{\vhat}{\widehat{\vvec}}$

$\newcommand{\uhat}{\widehat{\uvec}}$

$\newcommand{\what}{\widehat{\wvec}}$

$\newcommand{\Sighat}{\widehat{\Sigma}}$

$\newcommand{\lt}{<}$

$\newcommand{\gt}{>}$

$\newcommand{\amp}{&}$

$\definecolor{fillinmathshade}{gray}{0.9}$

Constantes Fundamentales

c	velocidad de la luz	2.998 × 10 ⁸ m/s
$\varepsilon_{\mathrm{o}}$	permitividad de espacio libre	8.854 × 10 ^-12 F/m
$\mu_{\mathrm o}$	permeabilidad del espacio libre	4 $\pi$ × 10 ^-7 H/m
$\eta_{\mathrm o}$	impedancia característica del espacio libre	376.7 $\Omega$
e	carga de un electrón, (-e.v. /Joule)	-1.6008 × 10 ^-19 C
m	masa de un electrón	9.1066 × 10 ^-31 kg
m _p	masa de un protón	1.6725 × 10 ^-27 kg
h	Constante de Planck	6.624 × 10 ^-34 Js
k	Constante de Boltzmann	1.3805 × ^10-23 J/K
N _o	Constante de Avogadro	6.022 × 10 ²³ molécula/mol
R	Constante universal de gas	8. 31 J/molek

A.2 Conductividad eléctrica σ, S/m

Plata	6.14 × 10 ⁷	Monel	0.24 × 10 ⁷
Cobre	5.80 × 10 ⁷	Mercurio	0.1 × 10 ⁷
Oro	4.10 × 10 ⁷	Agua de Mar	3 — 5
Aluminio	3.54 × 10 ⁷	Agua Destilada	2 × 10 ^-4
Tungsteno	1.81 × 10 ⁷	Baquelita	10 ^-8 — 10 ^-10
Latón	1.57 × 10 ⁷	Vidrio	10 ^-12
Níquel	1.28 × 10 ⁷	Mica	10 ^-11 — 10 ^-15
Hierro (puro)	1.0 × 10 ⁷	Petróleo	10 ^-14
Acero	0.5 — 1.0 × 10 ⁷	Cuarzo Fundido	<2 × 10 ^-17
Plomo	0.48 × 10 ⁷

Constante dieléctrica relativa ε/ε _o a 1 MHz

Vacío	1.00	Vidrios Vycor	3.8
Espuma de poliestireno (25% de relleno)	1.03	Vidrio de baja pérdida	4.1
Firwood	1.8 — 2.0	Hielo	4.15
Papel	2.0 — 3.0	Cristal Pyrex	5.1
Petróleo	2.1	Moscovita (mica)	5.4
Parafina	2.1	Mica	5.6 — 6.0
Teflón	2.1	Silicato de magnesio	5.7 — 6.4
Vaselina	2.16	Porcelana	5.7
Caucho	2.3 — 4.0	Óxido de aluminio	8.8
Poliestireno	2.55	Diamante	16.5
Suelo arenoso	2.6	Alcohol etílico	24.5
Plexiglás	2.6 — 3.5	Agua destilada	81.1
Cuarzo fundido	3.78	Dióxido de titanio	100

Permeabilidad Relativa μ/μ _o

Vacío	1
Tejido biológico	1
Acero frío	2,000
Hierro (99.91%)	5,000
Hierro purificado (99.95%)	180,000
mu metal (FenicRCu)	100,000
Supermalloy (Fenimomn)	800,000

Constantes Fundamentales

A.2 Conductividad eléctrica σ, S/m

Constante dieléctrica relativa ε/ε o a 1 MHz

Permeabilidad Relativa μ/μ o

Support Center

How can we help?

Constante dieléctrica relativa ε/ε _o a 1 MHz

Permeabilidad Relativa μ/μ _o