66.11: Units of Physical Quantities
- Page ID
- 91941
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)| Quantity | SI Units | Gaussian Units |
|---|---|---|
| Absorbed dose | \(\mathrm{Gy}\) | \(\mathrm{erg} \; \mathrm{g}^{-1}\) |
| Acceleration | \(\mathrm{m} \;\mathrm{s}^{-2}\) | \(\mathrm{cm} \; \mathrm{s}^{-2} \) |
| Amount of substance | \(\mathrm{mol}\) | \( \mathrm{mol} \) |
| Angle (plane) | \(\mathrm{rad}\) | \(\mathrm{rad} \) |
| Angle (solid) | \(\mathrm{sr}\) | \(\mathrm{sr} \) |
| Angular acceleration | \(\mathrm{rad} \;\mathrm{s}^{-2}\) | \(\mathrm{rad} \; \mathrm{s}^{-2} \) |
| Angular momentum | \(\mathrm{N} \; \mathrm{m} \; \mathrm{s}\) | \(\mathrm{dyn}\;\mathrm{cm}\; \mathrm{s} \) |
| Angular velocity | \(\mathrm{rad~s}^{-1}\) | \(\mathrm{rad}\;\mathrm{s}^{-1} \) |
| Area | \(\mathrm{m}^2\) | \(\mathrm{cm}^2 \) |
| Bulk modulus | \(\mathrm{Pa}\) | \(\mathrm{ba} \) |
| Catalytic activity | \(\mathrm{kat}\) | \(\mathrm{kat} \) |
| Coercivity | \(\mathrm{A} \; \mathrm{m}^{-1}\) | \(\mathrm{Oe} \) |
| Crackle | \(\mathrm{m} \;\mathrm{s}^{-5}\) | \(\mathrm{cm} \; \mathrm{s}^{-5} \) |
| Density | \(\mathrm{kg} \;\mathrm{m}^{-3}\) | \(\mathrm{g} \; \mathrm{~cm}^{-3} \) |
| Distance | \(\mathrm{m}\) | \(\mathrm{cm} \) |
| Dose equivalent | \(\mathrm{Sv}\) | \(\mathrm{erg} \; \mathrm{g}^{-1} \) |
| Elastic modulus | \(\mathrm{N} \;\mathrm{m}^{-2}\) | \(\mathrm{dyn}\; \mathrm{cm}^{-2} \) |
| Electric capacitance | \(\mathrm{F}\) | \(\mathrm{stat}\;\mathrm{F} \) |
| Electric charge | \(\mathrm{C}\) | \(\mathrm{stat}\;\mathrm{C} \) |
| Electric conductance | \(\mathrm{S}\) | \(\mathrm{stat} \Omega^{-1} \) |
| Electric conductivity | \(\mathrm{S} \;\mathrm{m}^{-1}\) | \(\mathrm{stat} \Omega^{-1} \mathrm{cm}^{-1} \) |
| Electric current | \(\mathrm{A}\) | \(\mathrm{statA} \) |
| Electric dipole moment | \(\mathrm{C} \; \mathrm{m}\) | \(\mathrm{statC}\;\mathrm{cm} \) |
| Electric displacement (D) | \(\mathrm{C} \; \mathrm{m}^{-2}\) | \(\mathrm{statC}\; \mathrm{cm}^{-2} \) |
| Electric elastance | \(\mathrm{F}^{-1}\) | \(\mathrm{statF}^{-1} \) |
| Electric field (E) | \(\mathrm{V} \;\mathrm{m}^{-1}\) |
\(\mathrm{statV}\; \mathrm{cm}^{-1} \) |
| Electric flux | \(\mathrm{Vm}\) | \(\mathrm{statV}\; \mathrm{cm} \) |
| Electric permittivity | \(\mathrm{F} \;\mathrm{m}^{-1}\) | - |
| Electric polarization (P) | \(\mathrm{C} \; \mathrm{m}^{-2}\) | \(\mathrm{statC}\; \mathrm{cm}^{-2} \) |
| Electric potential | \(\mathrm{V}\) | \(\mathrm{statV} \) |
| Electric resistance | \(\Omega\) | \(\mathrm{stat} \Omega \) |
| Electric resistivity | \(\Omega \;\mathrm{m}\) | \(\mathrm{stat} \Omega\; \mathrm{cm} \) |
| Energy | \(\mathrm{J}\) | \(\mathrm{erg} \) |
| Enthalpy | \(\mathrm{J}\) | \(\mathrm{erg}\) |
| Entropy | \(\mathrm{J} \;\mathrm{K}^{-1}\) | \( \mathrm{erg}\; \mathrm{K}^{-1} \) |
| Force | \(\mathrm{N}\) | \(\mathrm{dyn} \) |
| Frequency | \(\mathrm{Hz}\) | \(\mathrm{Hz} \) |
| Heat | \(\mathrm{J}\) | \(\mathrm{erg} \) |
| Heat capacity | \(\mathrm{J} \;\mathrm{K}^{-1}\) | \(\mathrm{erg} \;\mathrm{K}^{-1} \) |
| Illuminance | \(1 \mathrm{x}\) | \(\mathrm{ph} \) |
| Impulse | \(\mathrm{N} \;\mathrm{s}\) | \(\mathrm{dyn} \;\mathrm{s} \) |
| Inductance | \(\mathrm{H}\) | \(\mathrm{statH} \) |
| Jerk | \(\mathrm{m} \;\mathrm{s}^{-3}\) | \(\mathrm{cm} \;\mathrm{s}^{-3} \) |
| Jounce | \(\mathrm{m} \;\mathrm{s}^{-4}\) | \(\mathrm{cm} \;\mathrm{s}^{-4} \) |
| Latent heat | \(\mathrm{J} \;\mathrm{kg}^{-1}\) | \(\mathrm{erg} \;\mathrm{g}^{-1} \) |
| Length | \(\mathrm{m}\) | \(\mathrm{cm} \) |
| Luminance | \(\mathrm{cd} \;\mathrm{m}^{-2}\) | \(\mathrm{sb} \) |
| Luminous flux | \(\mathrm{lm}\) | \(\mathrm{lm} \) |
| Luminous intensity | \(\mathrm{cd}\) | \(\mathrm{cd} \) |
| Magnetic flux | \(\mathrm{Wb}\) | \(\mathrm{Mx} \) |
| Magnetic induction (B) | \(\mathrm{T}\) | \(\mathrm{G} \) |
| Magnetic intensity (H) | \(\mathrm{A}\; \mathrm{m}^{-1}\) | \(\mathrm{Oe} \) |
| Magnetic dipole moment ( B convention) | \(\mathrm{A} \; \mathrm{m}^2\) | \(\mathrm{pole}\; \mathrm{cm} \) |
| Magnetic dipole moment ( H convention) | \(\mathrm{Wb} \;\mathrm{m}\) | \(\mathrm{pole}\; \mathrm{cm} \) |
| Magnetic permeability | \(\mathrm{H}\; \mathrm{m}^{-1}\) | - |
| Magnetic permeance | \(\mathrm{H}\) | \(\mathrm{s} \) |
| Magnetic pole strength ( B convention) | \(\mathrm{A \; m}\) | \(\mathrm{unit} \; \mathrm{pole} \) |
| Magnetic pole strength ( H convention) | \(\mathrm{Wb}\) | \(\mathrm{unit} \; \mathrm{pole} \) |
| Magnetic potential (scalar) | \(\mathrm{A}\) | \(\mathrm{Oe} \; \mathrm{cm} \) |
| Magnetic potential (vector) | \(\mathrm{T}\; \mathrm{m}\) | \(\mathrm{G} \; \mathrm{cm} \) |
| Magnetic reluctance | \(\mathrm{H}^{-1}\) | \(\mathrm{~s}^{-1} \) |
| Magnetization (M) | \(\mathrm{A}\; \mathrm{m}^{-1}\) | \(\mathrm{Mx} \;\mathrm{cm}^{-2} \) |
| Magnetomotive force | \(\mathrm{A}\) | \(\mathrm{Gb} \) |
| Mass | \(\mathrm{kg}\) | \(\mathrm{g} \) |
| Memristance | \(\Omega\) | \(\mathrm{stat} \;\Omega \) |
| Molality | \(\mathrm{mol}\; \mathrm{kg}^{-1}\) | \(\mathrm{mol} \; \mathrm{g}^{-1} \) |
| Molarity | \(\mathrm{mol} \;\mathrm{m}^{-3}\) | \(\mathrm{mol} \;\mathrm{cm}^{-3} \) |
| Moment of inertia | \(\mathrm{kg} \;\mathrm{m}^2\) | \(\mathrm{g} \;\mathrm{cm}^2 \) |
| Momentum | \(\mathrm{N} \;\mathrm{s}\) | \(\mathrm{dyn}\; s \) |
| Pop | \(\mathrm{m} \;\mathrm{s}^{-6}\) | \(\mathrm{~cm} \mathrm{~s}^{-6} \) |
| Power | \(\mathrm{W}\) | \(\mathrm{statW} \) |
| Pressure | \(\mathrm{Pa}\) | \(\mathrm{bs} \) |
| Radioactivity | \(\mathrm{Bq}\) | \(\mathrm{Bq} \) |
| Remanence | \(\mathrm{T}\) | \(\mathrm{G} \) |
| Retentivity | \(\mathrm{T}\) | \(\mathrm{G} \) |
| Shear modulus | \(\mathrm{N} \;\mathrm{m}^{-2}\) | \( \mathrm{dyn} \; \mathrm{cm}^{-2} \) |
| Snap | \(\mathrm{m} \;\mathrm{s}^{-4}\) | \(\mathrm{cm} \; \mathrm{s}^{-4} \) |
| Specific heat | \(\mathrm{J} \;\mathrm{K}^{-1} \;\mathrm{~kg}^{-1}\) | \(\mathrm{erg} \;\mathrm{K}^{-1} \mathrm{~g}^{-1} \) |
| Strain | - | - |
| Stress | \(\mathrm{N}\;\mathrm{m}^{-2}\) | \(\mathrm{dyn} \; \mathrm{cm}^{-2} \) |
| Temperature | \(\mathrm{K}\) | \(\mathrm{L} \) |
| Tension | \(\mathrm{N}\) | \(\mathrm{dyn} \) |
| Time | \(\mathrm{S}\) | \(\mathrm{S} \) |
| Torque | \(\mathrm{N} \;\mathrm{m}\) | \(\mathrm{dyn}\; \mathrm{cm} \) |
| Velocity | \(\mathrm{m} \;\mathrm{s}^{-1}\) | \(\mathrm{cm}\; \mathrm{~s}^{-1} \) |
| Viscosity (dynamic) | \(\mathrm{Pa} \;\mathrm{s}\) | \(\mathrm{P} \) |
| Viscosity (kinematic) | \(\mathrm{m}^2 \;\mathrm{~s}^{-1}\) | \(\mathrm{St} \) |
| Volume | \(\mathrm{m}^3\) | \(\mathrm{cm}^3 \) |
| Wave number | \(\mathrm{m}^{-1}\) | \(\mathrm{kayser} \) |
| Weight | \(\mathrm{N}\) | \(\mathrm{dyn} \) |
| Work | \(\mathrm{J}\) | \(\mathrm{erg} \) |
| Young's modulus | \(\mathrm{N}\;\mathrm{m}^{-2}\) | \(\mathrm{dyn}\; \mathrm{cm}^{-2} \) |