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Definition

The System of International Units is a dimension system that is based on 7 base units.

Dimension
Name
Dimension
Symbol
Unit
Name
Unit
Symbol
Length L Meter m\text{m}\,
Mass M Kilogram kg\text{kg}\,
Time T Second s\text{s}\,
Current I Ampere A\text{A}\,
Temperature Θ Kelvin s\text{s}\,
Amount of substance N Mole mol\text{mol}\,
Luminous intensity J Candela cd\text{cd}\,

Derived Quantities

Quantity Definition Unit SI-Notation
Frequency f=cλf = \frac{c}{\lambda} Hertz Hz=/s\text{Hz}\, = /\text{s}\,
Force 𝐅:=m𝐚\boldsymbol F := m \cdot \boldsymbol a Newton N=kgm/s2\text{N}\, = \text{kg}\,\text{m}\,/\text{s}\,^{2}
Pressure p:=𝐅Ap := \frac{\boldsymbol F_\perp}{A} Pascal Pa=N/m2=kg/ms2\text{Pa}\, = \text{N}\,/\text{m}\,^{2} = \text{kg}\,/\text{m}\,\text{s}\,^{2}
${}^{\textstyle \text{Work,}}_{\textstyle \text{Energy}}$ W:=𝐅d𝐬W := \int \boldsymbol F \,\text{d}\boldsymbol s Joule J=Nm=kgm2/s2\text{J}\, = \text{N}\,\text{m}\, = \text{kg}\,\text{m}\,^{2}/\text{s}\,^{2}
Power P:=dWdtP := \frac{\mathrm dW}{\mathrm dt} Watt W=J/s=kgm2/s3\text{W}\, = \text{J}\,/\text{s}\, = \text{kg}\,\text{m}\,^{2}/\text{s}\,^{3}
Voltage U:=WQU := \frac{W}{Q} Volt V=W/A=kgm2/As3\text{V}\, = \text{W}\,/\text{A}\, = \text{kg}\,\text{m}\,^{2}/\text{A}\,\text{s}\,^{3}
Charge Q:=IdtQ:= \int I \,\text{d}t Coulomb C=As\text{C}\, = \text{A}\,\text{s}\,
Resistance R:=dUdIR := \frac{\,\text{d}U}{\,\text{d}I} Ohm Ω=V/A=kgm2/A2s3\Omega\, = \text{V}\,/\text{A}\, = \text{kg}\,\text{m}\,^{2}/\text{A}\,^{2}\text{s}\,^{3}
Capacitance C:=dQdUC:= \frac{\,\text{d}Q}{\,\text{d}U} Farad F=C/V=A2s4/kgm2\text{F}\, = \text{C}\,/\text{V}\, = \text{A}\,^{2}\text{s}\,^{4}/\text{kg}\,\text{m}\,^{2}
Inductance L:=dΦdIL := \frac{\,\text{d}\Phi}{\,\text{d}I} Henry H=Vs/A=kgm2/A2s2\text{H}\, = \text{V}\,\text{s}\,/\text{A}\, = \text{kg}\,\text{m}\,^{2}/\text{A}\,^{2}\text{s}\,^{2}
${}^{\text{Magnetic}}_{\textstyle \text{Flux}}$ ΦM:=𝐁d𝐀\Phi_{\mathrm M} := \int \boldsymbol B \,\text{d}\boldsymbol A Weber Wb=Vs=kgm2/As2\text{Wb}\, = \text{V}\,\text{s}\, = \text{kg}\,\text{m}\,^{2}/\text{A}\,\text{s}\,^{2}
${}^{\text{Magnetic}}_{\textstyle \text{Flux Density}}$ 𝐁:=μ0𝐇\boldsymbol B := \mu_0 \boldsymbol H Tesla T=Wb/m2=kg/As2\text{T}\, = \text{Wb}\,/\text{m}\,^{2} = \text{kg}\,/\text{A}\,\text{s}\,^{2}

Prefix

10±10^{\pm} 1 2 3 6 9 12 15 18 21
+ da h k M G T P E Z
- d c m μ n p f a z