A - Units

Quantity	Common Symbol	Unit	Unit in Terms of Base SI Units
Acceleration		$\mathrm{m/s}^2$	$\mathrm{m/s}^2$
Amount of substance	n	mole
Angle		$radian (\mathrm{rad})$
Angular acceleration	$\vec{\pmb{\upalpha}}$	$\mathrm{rad/s}^2$
Angular frequency		$\mathrm{rad/s}$
Angular momentum		$\mathrm{kg}\cdot\mathrm{m}^2/\mathrm{s}$
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		$\mathrm{C/m}$	$\mathrm{A}\cdot\mathrm{s/m}$
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 by Daryl Janzen is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.