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