notes/Areas/electricity/units.md

2.3 KiB

Farad

Measures capacitance, the ability of a body to store an electrical charge. 1 Farad = the ability to store 1 couloumb

Term Symbol Weight
Picofarad pF 10^{-12}
Nanofarad nF 10^{-9}
Microfarad $\micro$F 10^{-6}
Milifarad mF 10^{-3}
Farad F 10^0
Kilofarad kF 10^{3}

Couloumb

1 coulomb is the electric charge transported within one second through the cross-section of a conductor in which an electric current of the strength of 1 ampere flows.

Henry

Measures electrical Inductance

\displaystyle V(t)=L{\frac {dI}{dt}}

Volts

Measures electric potential

Amperes

Measures electric current

Ohms

Measures resistance

Term Symbol Weight
Nanoohm n$\ohm$ 10-9
Microohm \micro \ohm 10^{-6}
Milliohm m$\ohm$ 10^{-3}
Ohm \ohm 10^{0}
Kiloohm k$\ohm$ 10^{3}
Megaohm M$\ohm$ 10^{6}
Gigaohm G$\ohm$ 10^{9}

Hertz

Measures frequency

Term Symbol Weight
Hertz Hz 10^0
Kilohertz kHz 10^{3}
Megahertz mHz 10^6

Watt

Measures Power

Power = V * I = \frac{V^{2}}{R} = I^{2}R

Joules per Second

Term Symbol Weight
Nanowatt nW 10^{-9}
Microwatt $\micro$W 10^{-6}
Milliwatt mW 10^{-3}
Watt W 10^{0}
Kilowatt kW 10^{3}
Megawatt MW 10^{6}
Gigawatt GW 10^{9}

Examples:

Device Power
Arduino 167mW
Laptop 1.5W
House 2.2kW

Decibel

A decibel (dB) is used to describe the ratio between two values, it is calculated as \displaystyle 10\log{10}{\frac{V1}{V2}}

Here are a few commonly used values

db Value Power Ratio (10logA) Voltage/CurrentRatio (20log(A))
-20dB 0.01 0.1
-10dB 0.1 0.3162
-6dB 0.25 1/2 = 0.5
-3dB 1/2 = 0.5 1\sqrt{2} \approx 0.707
-1dB 0.79 0.89
0dB 1 1
1dB 1.26 1.1
3dB 2 \sqrt{2} \approx 1.414
6dB 4 2
10dB 10 \sqrt{10} \approx 3.162
20dB 100 10
30dB 1000 31.62

Decade

Related to Frequencies

One decade is a distance along the frequency line, for example 1 \rightarrow 10 or 10 \rightarrow 100