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

Derived Quantities

Quantity Definition Unit SI-Notation
Frequency $f = \frac{c}{\lambda}$ Hertz ${{\text{Hz}{\,}}} = { {/}{\text{s}{\,}}}$
Force ${\boldsymbol F} := m \cdot {\boldsymbol a}$ Newton ${{\text{N}{\,}}} = {{\text{kg}{\,}}{\text{m}{\,}}{/}{\text{s}{\,}}{^{2}}}$
Pressure $p := \frac{{\boldsymbol F}_\perp}{A}$ Pascal ${{\text{Pa}{\,}}} = {{\text{N}{\,}}{/}{\text{m}{\,}}{^{2}}} = {{\text{kg}{\,}}{/}{\text{m}{\,}}{\text{s}{\,}}{^{2}}}$
${}^{\textstyle \text{Work,}}_{\textstyle \text{Energy}}$ $W := \int {\boldsymbol F} {\,\text{d}}{\boldsymbol s}$ Joule ${{\text{J}{\,}}} = {{\text{N}{\,}}{\text{m}{\,}}} = {{\text{kg}{\,}}{\text{m}{\,}}{^{2}}{/}{\text{s}{\,}}{^{2}}}$
Power $P := \frac{\mathrm dW}{\mathrm dt}$ Watt ${{\text{W}{\,}}} = {{\text{J}{\,}}{/}{\text{s}{\,}}} = {{\text{kg}{\,}}{\text{m}{\,}}{^{2}}{/}{\text{s}{\,}}{^{3}}}$
Voltage $U := \frac{W}{Q}$ Volt ${{\text{V}{\,}}} = {{\text{W}{\,}}{/}{\text{A}{\,}}} = {{\text{kg}{\,}}{\text{m}{\,}}{^{2}}{/}{\text{A}{\,}}{\text{s}{\,}}{^{3}}}$
Charge $Q:= \int I {\,\text{d}}t$ Coulomb ${{\text{C}{\,}}} = {{\text{A}{\,}}{\text{s}{\,}}}$
Resistance $R := \frac{{\,\text{d}}U}{{\,\text{d}}I}$ Ohm ${{\Omega{\,}}} = {{\text{V}{\,}}{/}{\text{A}{\,}}} = {{\text{kg}{\,}}{\text{m}{\,}}{^{2}}{/}{\text{A}{\,}}{^{2}}{\text{s}{\,}}{^{3}}}$
Capacitance $C:= \frac{{\,\text{d}}Q}{{\,\text{d}}U}$ Farad ${{\text{F}{\,}}} = {{\text{C}{\,}}{/}{\text{V}{\,}}} = {{\text{A}{\,}}{^{2}}{\text{s}{\,}}{^{4}}{/}{\text{kg}{\,}}{\text{m}{\,}}{^{2}}}$
Inductance $L := \frac{{\,\text{d}}\Phi}{{\,\text{d}}I}$ Henry ${{\text{H}{\,}}} = {{\text{V}{\,}}{\text{s}{\,}}{/}{\text{A}{\,}}} = {{\text{kg}{\,}}{\text{m}{\,}}{^{2}}{/}{\text{A}{\,}}{^{2}}{\text{s}{\,}}{^{2}}}$
${}^{\text{Magnetic}}_{\textstyle \text{Flux}}$ $\Phi_{\mathrm M} := \int {\boldsymbol B} {\,\text{d}}{\boldsymbol A}$ Weber ${{\text{Wb}{\,}}} = {{\text{V}{\,}}{\text{s}{\,}}} = {{\text{kg}{\,}}{\text{m}{\,}}{^{2}}{/}{\text{A}{\,}}{\text{s}{\,}}{^{2}}}$
${}^{\text{Magnetic}}_{\textstyle \text{Flux Density}}$ ${\boldsymbol B} := \mu_0 {\boldsymbol H}$ Tesla ${{\text{T}{\,}}} = {{\text{Wb}{\,}}{/}{\text{m}{\,}}{^{2}}} = {{\text{kg}{\,}}{/}{\text{A}{\,}}{\text{s}{\,}}{^{2}}}$

Prefix

$10^{\pm}$ 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
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