# SI Units#

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 $$\si{\meter}$$
Mass M Kilogram $$\si{\kilogram}$$
Time T Second $$\si{\second}$$
Current I Ampere $$\si{\ampere}$$
Temperature Θ Kelvin $$\si{\second}$$
Amount of substance N Mole $$\si{\mol}$$
Luminous intensity J Candela $$\si{\candela}$$

## Derived Quantities#

Quantity Definition Unit SI-Notation
Frequency $$f = \frac{c}{\lambda}$$ Hertz $$\si{\hertz} = \si{ \per \second}$$
Force $$\vec F := m \cdot \vec a$$ Newton $$\si{\newton} = \si{\kilogram \meter \per \second \squared}$$
Pressure $$p := \frac{\vec F_\perp}{A}$$ Pascal $$\si{\pascal} = \si{\newton \per \meter \squared} = \si{\kilogram \per \meter \second \squared}$$
$${}^{\textstyle \text{Work,}}_{\textstyle \text{Energy}}$$ $$W := \int \vec F \diff \vec s$$ Joule $$\si{\joule} = \si{\newton\meter} = \si{\kilogram\meter \squared \per \second \squared}$$
Power $$P := \frac{\mathrm dW}{\mathrm dt}$$ Watt $$\si{\watt} = \si{\joule \per \second} = \si{\kilogram\meter \squared \per \second \cubed}$$
Voltage $$U := \frac{W}{Q}$$ Volt $$\si{\volt} = \si{\watt \per \ampere} = \si{\kilogram\meter \squared \per \ampere\second \cubed}$$
Charge $$Q:= \int I \diff t$$ Coulomb $$\si{\coulomb} = \si{\ampere\second}$$
Resistance $$R := \frac{\diff U}{\diff I}$$ Ohm $$\si{\ohm} = \si{\volt \per \ampere} = \si{\kilogram\meter \squared \per \ampere \squared\second \cubed}$$
Capacitance $$C:= \frac{\diff Q}{\diff U}$$ Farad $$\si{\farad} = \si{\coulomb \per \volt} = \si{\ampere \squared \second \tothe{4}\per \kilogram\meter \squared}$$
Inductance $$L := \frac{\diff \Phi}{\diff I}$$ Henry $$\si{\henry} = \si{\volt\second \per\ampere} = \si{\kilogram\meter \squared \per \ampere \squared \second \squared}$$
$${}^{\text{Magnetic}}_{\textstyle \text{Flux}}$$ $$\Phi_{\mathrm M} := \int \vec B \diff \vec A$$ Weber $$\si{\weber} = \si{\volt\second} = \si{\kilogram\meter \squared \per \ampere\second \squared}$$
$${}^{\text{Magnetic}}_{\textstyle \text{Flux Density}}$$ $$\vec B := \mu_0 \vec H$$ Tesla $$\si{\tesla} = \si{\weber \per \meter \squared} = \si{\kilogram \per \ampere\second \squared}$$

## 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