# Units

Units Used in Physics (Fundamental units in bold)
Quantity Common Symbol Unit Unit in Terms of Base SI Units
Acceleration $\stackrel{\to }{\textbf{a}}$ m/s2 m/s2
Amount of substance n mole mol
Angle $\theta ,\varphi$ radian (rad)
Angular acceleration $\stackrel{\to }{\pmb{\alpha }}$ rad/s2 s−2
Angular frequency $\omega$ rad/s s−1
Angular momentum $\stackrel{\to }{\textbf{L}}$ $\text{kg}·{\text{m}}^{2}\text{/s}$ $\text{kg}·{\text{m}}^{2}\text{/s}$
Angular velocity $\stackrel{\to }{\pmb{\omega }}$ rad/s s−1
Area A m2 m2
Atomic number Z
Capacitance C farad (F) ${\text{A}}^{2}·{\text{s}}^{4}\text{/}\text{kg}·{\text{m}}^{2}$
Charge q, Q, e coulomb (C) $\text{A}·\text{s}$
Charge density:
Line $\lambda$ C/m $\text{A}·\text{s/m}$
Surface $\sigma$ C/m2 $\text{A}·{\text{s/m}}^{2}$
Volume $\rho$ C/m3 $\text{A}·{\text{s/m}}^{3}$
Conductivity $\sigma$ $\text{1/}\text{Ω}·\text{m}$ ${\text{A}}^{2}·{\text{s}}^{3}\text{/kg}·{\text{m}}^{3}$
Current I ampere A
Current density $\stackrel{\to }{\textbf{J}}$ A/m2 A/m2
Density $\rho$ kg/m3 kg/m3
Dielectric constant $\kappa$
Electric dipole moment $\stackrel{\to }{\textbf{p}}$ $\text{C}·\text{m}$ $\text{A}·\text{s}·\text{m}$
Electric field $\stackrel{\to }{\textbf{E}}$ N/C $\text{kg}·\text{m/A}·{\text{s}}^{3}$
Electric flux $\text{Φ}$ $\text{N}·{\text{m}}^{2}\text{/}\text{C}$ $\text{kg}·{\text{m}}^{3}\text{/A}·{\text{s}}^{3}$
Electromotive force $\epsilon$ volt (V) $\text{kg}·{\text{m}}^{2}\text{/A}·{\text{s}}^{3}$
Energy E,U,K joule (J) $\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}$
Entropy S J/K $\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}·\text{K}$
Force $\stackrel{\to }{\textbf{F}}$ newton (N) $\text{kg}·{\text{m/s}}^{2}$
Frequency f hertz (Hz) s−1
Heat Q joule (J) $\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}$
Inductance L henry (H) $\text{kg}·{\text{m}}^{2}{\text{/A}}^{2}·{\text{s}}^{2}$
Length: $\ell ,L$ meter m
Displacement $\text{Δ}x,\text{Δ}\stackrel{\to }{\textbf{r}}$
Distance d, h
Position $x,y,z,\stackrel{\to }{\textbf{r}}$
Magnetic dipole moment $\stackrel{\to }{\pmb{\mu }}$ $\text{N}·\text{J/T}$ $\text{A}·{\text{m}}^{2}$
Magnetic field $\stackrel{\to }{\textbf{B}}$ $\text{tesla}\left(\text{T}\right)=\left({\text{Wb/m}}^{2}\right)$ $\text{kg/A}·{\text{s}}^{2}$
Magnetic flux ${\text{Φ}}_{\text{m}}$ weber (Wb) $\text{kg}·{\text{m}}^{2}\text{/A}·{\text{s}}^{2}$
Mass m, M kilogram kg
Molar specific heat C $\text{J/mol}·\text{K}$ $\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}·\text{mol}·\text{K}$
Moment of inertia I $\text{kg}·{\text{m}}^{2}$ $\text{kg}·{\text{m}}^{2}$
Momentum $\stackrel{\to }{\textbf{p}}$ $\text{kg}·\text{m/s}$ $\text{kg}·\text{m/s}$
Period T s s
Permeability of free space ${\mu }_{0}$ ${\text{N/A}}^{2}\text{=}\left(\text{H/m}\right)$ $\text{kg}·{\text{m/A}}^{2}·{\text{s}}^{2}$
Permittivity of free space ${\epsilon }_{0}$ ${\text{C}}^{2}\text{/N}·{\text{m}}^{2}\text{=}\left(\text{F/m}\right)$ ${\text{A}}^{2}·{\text{s}}^{4}\text{/kg}·{\text{m}}^{3}$
Potential V $\text{volt}\left(\text{V}\right)=\left(\text{J/C}\right)$ $\text{kg}·{\text{m}}^{2}\text{/A}·{\text{s}}^{3}$
Power P $\text{watt}\left(\text{W}\right)=\left(\text{J/s}\right)$ $\text{kg}·{\text{m}}^{2}{\text{/s}}^{3}$
Pressure p $\text{pascal}\left(\text{Pa}\right)=\left({\text{N/m}}^{2}\right)$ $\text{kg/m}·{\text{s}}^{2}$
Resistance R $\text{ohm}\left(\text{Ω}\right)=\left(\text{V/A}\right)$ $\text{kg}·{\text{m}}^{2}{\text{/A}}^{2}·{\text{s}}^{3}$
Specific heat c $\text{J/kg}·\text{K}$ ${\text{m}}^{2}{\text{/s}}^{2}·\text{K}$
Speed $\nu$ m/s m/s
Temperature T kelvin K
Time t second s
Torque $\stackrel{\to }{\pmb{\tau }}$ $\text{N}·\text{m}$ $\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}$
Velocity $\stackrel{\to }{\textbf{v}}$ m/s m/s
Volume V m3 m3
Wavelength $\lambda$ m m
Work W $\text{joule}\left(\text{J}\right)=\left(\text{N}·\text{m}\right)$ $\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}$