A – Units

Quantity Common Symbol Unit Unit in Terms of Base SI Units
Acceleration \vec{\mathbf{a}} \mathrm{m/s}^2  \mathrm{m/s}^2
Amount of substance n mole  \mathrm{mol}
Angle \theta,~\phi radian (\mathrm{rad})
Angular acceleration \vec{\pmb{\upalpha}} \mathrm{rad/s}^2 \mathrm{s}^{-2}
Angular frequency \omega \mathrm{rad/s} \mathrm{s}^{-1}
Angular momentum \vec{\mathbf{L}} \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s} \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}
Angular velocity \vec{\pmb{\upomega}} \mathrm{rad/s} \mathrm{s}^{-1}
Area A \mathrm{m}^2 \mathrm{m}^2
Atomic number Z
Capacitance C farad (\mathrm{F}) \mathrm{A}^2\cdot\mathrm{s}^4/\mathrm{kg}\cdot\mathrm{m}^2
Charge Q,~Q,~e coulomb (\mathrm{C}) \mathrm{A}\cdot\mathrm{s}
Charge density:
    Line \lambda \mathrm{C/m} \mathrm{A}\cdot\mathrm{s/m}
    Surface \sigma \mathrm{C/m}^2 \mathrm{A}\cdot\mathrm{s/m}^2
    Volume \rho \mathrm{C/m}^3 \mathrm{A}\cdot\mathrm{s/m}^3
Conductivity \sigma 1/\Omega\cdot\mathrm{m} \mathrm{A}^2\cdot\mathrm{s}^3/\mathrm{kg}\cdot\mathrm{m}^3
Current I ampere \mathrm{A}
Current density \vec{\mathbf{J}} \mathrm{A/m}^2 \mathrm{A/m}^2
Density \rho \mathrm{kg/m}^3 \mathrm{kg/m}^3
Dielectric constant \kappa
Electric dipole moment \vec{\mathbf{p}} \mathrm{C}\cdot\mathrm{m} \mathrm{A}\cdot\mathrm{s}\cdot\mathrm{m}
Electric field \vec{\mathbf{E}} \mathrm{N/C},~\mathrm{V/m} \mathrm{kg}\cdot\mathrm{m/A}\cdot{s}^3
Electric flux \Phi \mathrm{N}\cdot\mathrm{m}^2/\mathrm{C} \mathrm{kg}\cdot\mathrm{m}^3/\mathrm{A}\cdot{s}^3
Electromotive force \mathcal{E} volt (\mathrm{V}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{A}\cdot{s}^3
Energy E,~U,~K joule (\mathrm{J}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}^2
Entropy S \mathrm{J/K} \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}^2\cdot\mathrm{K}
Force \vec{\mathbf{F}} newton (\mathrm{N}) \mathrm{kg}\cdot\mathrm{m}/\mathrm{s}^2
Frequency F,~\nu hertz (\mathrm{Hz}) \mathrm{s}^{-1}
Heat Q joule (\mathrm{J}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}^2
Inductance L henry (\mathrm{H}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}^2\cdot\mathrm{s}^2
Length: \ell,~L metre \mathrm{m}
    Displacement \Delta x,~\Delta\vec{\mathbf{r}}
    Distance d,~h
    Position x,~y,~z,~\vec{\mathbf{r}}
Magnetic dipole moment \vec{\pmb{\upmu}} \mathrm{N}\cdot\mathrm{J/T} \mathrm{A}\cdot\mathrm{m}^2
Magnetic field \vec{\mathbf{B}} tesla (\mathrm{T})=(\mathrm{Wb/m}^2) \mathrm{kg/A}\cdot\mathrm{s}^2
Magnetic flux \Phi_{\mathrm{m}} weber (\mathrm{Wb}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{A}\cdot\mathrm{s}^2
Mass m,~M kilogram \mathrm{kg}
Molar specific heat C \mathrm{J/mol}\cdot\mathrm{K} \mathrm{kg}\cdot\mathrm{m}^2\cdot\mathrm{s}^2\cdot\mathrm{mol}\cdot\mathrm{K}
Moment of inertia I \mathrm{kg}\cdot\mathrm{m}^2 \mathrm{kg}\cdot\mathrm{m}^2
Momentum \vec{\mathbf{p}} \mathrm{kg}\cdot\mathrm{m/s} \mathrm{kg}\cdot\mathrm{m/s}
Period T \mathrm{s} \mathrm{s}
Permeability of free space \mu_0 \mathrm{N/A}^2=\mathrm{H/m} \mathrm{kg}\cdot\mathrm{m/A}^2\cdot\mathrm{s}^2
Permittivity of free space \epsilon_0 \mathrm{C}^2/\mathrm{N}\cdot\mathrm{m}^2=\mathrm{F/m} \mathrm{A}^2\cdot\mathrm{s}^4/\mathrm{kg}\cdot\mathrm{m}^3
Potential V volt (\mathrm{V}=\mathrm{J/C}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{A}\cdot\mathrm{s}^3
Power P watt (\mathrm{W}=\mathrm{J/s}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}^3
Pressure p pascal (\mathrm{Pa}=\mathrm{N/m}^2) \mathrm{kg/m}\cdot\mathrm{s}^2
Resistance \rho ohm (\Omega=\mathrm{V/A}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{A}^2\cdot\mathrm{s}^3
Specific heat c \mathrm{J/kg}\cdot\mathrm{K} \mathrm{m}^2/\mathrm{s}^2\cdot\mathrm{K}
Speed v \mathrm{m/s} \mathrm{m/s}
Temperature T kelvin \mathrm{K}
Time t second \mathrm{s}
Torque \vec{\pmb{\uptau}} \mathrm{N}\cdot\mathrm{m} \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}^2
Velocity \vec{\mathbf{v}} \mathrm{m/s} \mathrm{m/s}
Volume V \mathrm{m}^3 \mathrm{m}^3
Wavelength \lambda \mathrm{m} \mathrm{m}
Work W joule (\mathrm{J}=\mathrm{N}\cdot\mathrm{m}) \mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}^2
Table A1 Units Used in Physics (Fundamental units in bold)

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Introduction to Electricity, Magnetism, and Circuits Copyright © 2018 by Daryl Janzen is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.