66.9: Gaussian Units
- Page ID
- 91939
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Table \(\PageIndex{1}\): Gaussian base units.
|
Name |
Symbol |
Quantity |
|---|---|---|
|
centimeter |
cm |
length |
|
gram |
g |
mass |
|
second |
s |
time |
|
kelvin |
|
temperature |
|
mole |
mol |
amount of substance |
|
candela |
cd |
luminous intensity |
KTable \(\PageIndex{2}\): Gaussian derived units.
| Name | Symbol | Definition | Base Units | Quantity |
|---|---|---|---|---|
| radian | \(\mathrm{rad} \) | \(\mathrm{m} / \mathrm{m} \) | - | plane angle |
| steradian | \(\mathrm{sr} \) | \(\mathrm{m}^2 / \mathrm{m}^2 \) | - | solid angle |
| dyne | \(dyn \) | \(\mathrm{g} \mathrm{cm} \mathrm{s}^{-2} \) | \(\mathrm{~g} \mathrm{~cm} \mathrm{~s}^{-2} \) | force |
| erg | \(erg \) | \(dyn cm \) | \(\mathrm{g} \mathrm{cm}^2 \mathrm{~s}^{-2} \) | energy |
| statwatt | \(statW \) | \(\mathrm{erg} / \mathrm{s} \) | \(\mathrm{g} \mathrm{cm}^2 \mathrm{~s}^{-3} \) | power |
| barye | \(ba \) | \(\operatorname{dyn} / \mathrm{cm}^2 \) | \(\mathrm{~g} \mathrm{~cm}^{-1} \mathrm{~s}^{-2} \) | pressure |
| galileo | \(Gal \) | \(\mathrm{cm} / \mathrm{s}^2 \) | \(\mathrm{~cm} \mathrm{~s}^{-2} \) | acceleration |
| poise | \(\mathrm{P} \) | \(\mathrm{g} /(\mathrm{cm} \mathrm{s}) \) | \(\mathrm{g} \mathrm{cm}^{-1} \mathrm{~s}^{-1} \) | dynamic viscosity |
| stokes | \(St \) | \(\mathrm{cm}^2 / \mathrm{s} \) | \(\mathrm{cm}^2 \mathrm{~s}^{-1} \) | kinematic viscosity |
| hertz | \(\mathrm{Hz} \) | \(\mathrm{s}^{-1} \) | \(\mathrm{~s}^{-1} \) | frequency |
| statcoulomb | \(statC \) | - | \(\mathrm{g}^{1 / 2} \mathrm{~cm}^{3 / 2} \mathrm{~s}^{-1} \) | electric charge |
| franklin | \(\mathrm{Fr} \) | \(statC \) | \(\mathrm{g}^{1 / 2} \mathrm{~cm}^{3 / 2} \mathrm{~s}^{-1} \) | electric charge |
| statampere | \(statA \) | \(statC / s \) | \(\mathrm{g}^{1 / 2} \mathrm{~cm}^{3 / 2} \mathrm{~s}^{-2} \) | electric current |
| statvolt | \(statV \) | \(\mathrm{erg} / \mathrm{statC} \) | \(\mathrm{g}^{1 / 2} \mathrm{~cm}^{1 / 2} \mathrm{~s}^{-1} \) | electric potential |
| statohm | \(\operatorname{stat} \Omega \) | \(stat \mathrm{V} / statA \) | \(\mathrm{s} \mathrm{cm}^{-1} \) | electrical resistance |
| statfarad | \(statF \) | \(statC / statV \) | \(\mathrm{cm} \) | capacitance |
| maxwell | \(\mathrm{Mx} \) | \(stat V \mathrm{~cm} \) | \(\mathrm{~g}^{1 / 2} \mathrm{~cm}^{3 / 2} \mathrm{~s}^{-1} \) | magnetic flux |
| gauss | \(G \) | \(\mathrm{Mx} / \mathrm{cm}^2 \) | \(\mathrm{~g}^{1 / 2} \mathrm{~cm}^{-1 / 2} \mathrm{~s}^{-1} \) | magnetic induction |
| oersted | \(Oe \) | \(statA s / \mathrm{cm}^2 \) | \(\mathrm{~g}^{1 / 2} \mathrm{~cm}^{-1 / 2} \mathrm{~s}^{-1} \) | magnetic intensity |
| gilbert | \(\mathrm{Gb} \) | \(statA \) | \(\mathrm{g}^{1 / 2} \mathrm{~cm}^{3 / 2} \mathrm{~s}^{-2} \) | magnetomotive force |
| unit pole | \(pole \) | \(dyn / Oe \) | \(\mathrm{g}^{1 / 2} \mathrm{~cm}^{3 / 2} \mathrm{~s}^{-1} \) | magnetic pole strength |
| stathenry | \(statH \) | \(\operatorname{erg} / statA ^2 \) | \(\mathrm{~s}^2 \mathrm{~cm}^{-1} \) | induction |
| lumen | \(\operatorname{lm} \) | \(\mathrm{cd} \mathrm{sr} \) | \(\mathrm{cd} \mathrm{sr} \) | luminous flux |
| phot | \(ph \) | \(\mathrm{lm} / \mathrm{cm}^2 \) | \(\mathrm{~cd} \mathrm{sr} \mathrm{cm}^{-2} \) | illuminance |
| stilb | \(\mathrm{sb} \) | \(\mathrm{cd} / \mathrm{cm}^2 \) | \(\mathrm{~cd} \mathrm{~cm}^{-2} \) | luminance |
| lambert | \(\mathrm{Lb} \) | \(1 / \pi \mathrm{cd} / \mathrm{cm}^2 \) | \(\mathrm{~cd} \mathrm{~cm}^{-2} \) | luminance |
| kayser | \(K \) | \(1 / \mathrm{cm} \) | \(\mathrm{cm}^{-1} \) | wave number |
| becquerel | \(\mathrm{Bq} \) | \(\mathrm{s}^{-1} \) | \(\mathrm{~s}^{-1} \) | radioactivity |
| katal | \(kat \) | \(\mathrm{mol} / \mathrm{s} \) | \(\mathrm{mol} \mathrm{s}^{-1} \) | catalytic activity |