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

Derived Quantities#

Quantity Definition Unit SI-Notation
Frequency f=cλf = \frac{c}{\lambda} Hertz \siHz =\si/s \si{\hertz} = \si{ \per \second}
Force F:=m⋅a\vec F := m \cdot \vec a Newton \siN =\sikg m /s 2\si{\newton} = \si{\kilogram \meter \per \second \squared}
Pressure p:=F⊥Ap := \frac{\vec F_\perp}{A} Pascal \siPa =\siN /m 2=\sikg /m s 2\si{\pascal} = \si{\newton \per \meter \squared} = \si{\kilogram \per \meter \second \squared}
EnergyWork,{}^{\textstyle \text{Work,}}_{\textstyle \text{Energy}} W:=∫Fd sW := \int \vec F \diff \vec s Joule \siJ =\siN m =\sikg m 2/s 2\si{\joule} = \si{\newton\meter} = \si{\kilogram\meter \squared \per \second \squared}
Power P:=dWdtP := \frac{\mathrm dW}{\mathrm dt} Watt \siW =\siJ /s =\sikg m 2/s 3\si{\watt} = \si{\joule \per \second} = \si{\kilogram\meter \squared \per \second \cubed}
Voltage U:=WQU := \frac{W}{Q} Volt \siV =\siW /A =\sikg m 2/A s 3\si{\volt} = \si{\watt \per \ampere} = \si{\kilogram\meter \squared \per \ampere\second \cubed}
Charge Q:=∫Id tQ:= \int I \diff t Coulomb \siC =\siA s \si{\coulomb} = \si{\ampere\second}
Resistance R:=d Ud IR := \frac{\diff U}{\diff I} Ohm \siΩ =\siV /A =\sikg m 2/A 2s 3\si{\ohm} = \si{\volt \per \ampere} = \si{\kilogram\meter \squared \per \ampere \squared\second \cubed}
Capacitance C:=d Qd UC:= \frac{\diff Q}{\diff U} Farad \siF =\siC /V =\siA 2s \tothe4/kg m 2\si{\farad} = \si{\coulomb \per \volt} = \si{\ampere \squared \second \tothe{4}\per \kilogram\meter \squared}
Inductance L:=d Φd IL := \frac{\diff \Phi}{\diff I} Henry \siH =\siV s /A =\sikg m 2/A 2s 2\si{\henry} = \si{\volt\second \per\ampere} = \si{\kilogram\meter \squared \per \ampere \squared \second \squared}
FluxMagnetic{}^{\text{Magnetic}}_{\textstyle \text{Flux}} ΦM:=∫Bd A\Phi_{\mathrm M} := \int \vec B \diff \vec A Weber \siWb =\siV s =\sikg m 2/A s 2\si{\weber} = \si{\volt\second} = \si{\kilogram\meter \squared \per \ampere\second \squared}
Flux DensityMagnetic{}^{\text{Magnetic}}_{\textstyle \text{Flux Density}} B:=μ0H\vec B := \mu_0 \vec H Tesla \siT =\siWb /m 2=\sikg /A s 2\si{\tesla} = \si{\weber \per \meter \squared} = \si{\kilogram \per \ampere\second \squared}

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