# Electrical Units of Measure

Electrical Units of Measurement are used to express standard electrical units along with their prefixes when the units are too small or too large to express as a base unitThese electrical units of measurement are based on the International (metric) System, also known as the SI System with other commonly used electrical units being derived from SI base units.

Sometimes in electrical or electronic circuits and systems it is necessary to use multiples or sub-multiples (fractions) of these standard electrical measuring units when the quantities being measured are very large or very small.

The following table gives a list of some of the standard electrical units of measure used in electrical formulas and component values.

### Standard Electrical Units of Measure

Electrical Parameter | Measuring Unit | Symbol | Description |

Voltage | Volt | V or E | Unit of Electrical PotentialV = I × R |

Current | Ampere | I or i | Unit of Electrical CurrentI = V ÷ R |

Resistance | Ohm | R or Ω | Unit of DC ResistanceR = V ÷ I |

Conductance | Siemens | G or ℧ | Reciprocal of ResistanceG = 1 ÷ R |

Capacitance | Farad | C | Unit of CapacitanceC = Q ÷ V |

Charge | Coulomb | Q | Unit of Electrical ChargeQ = C × V |

Inductance | Henry | L or H | Unit of InductanceV_{L} = -L(di/dt) |

Power | Watts | W | Unit of PowerP = V × I or I^{2} × R |

Impedance | Ohm | Z | Unit of AC ResistanceZ^{2} = R^{2} + X^{2} |

Frequency | Hertz | Hz | Unit of Frequencyƒ = 1 ÷ T |

### Multiples and Sub-multiples

There is a huge range of values encountered in electrical and electronic engineering between a maximum value and a minimum value of a standard electrical unit. For example, resistance can be lower than 0.01Ω or higher than 1,000,000Ω. By using multiples and submultiple’s of the standard unit we can avoid having to write too many zero’s to define the position of the decimal point. The table below gives their names and abbreviations.Prefix | Symbol | Multiplier | Power of Ten |

Terra | T | 1,000,000,000,000 | 10^{12} |

Giga | G | 1,000,000,000 | 10^{9} |

Mega | M | 1,000,000 | 10^{6} |

kilo | k | 1,000 | 10^{3} |

none | none | 1 | 10^{0} |

centi | c | 1/100 | 10^{-2} |

milli | m | 1/1,000 | 10^{-3} |

micro | µ | 1/1,000,000 | 10^{-6} |

nano | n | 1/1,000,000,000 | 10^{-9} |

pico | p | 1/1,000,000,000,000 | 10^{-12} |

- 1kV = 1 kilo-volt – which is equal to 1,000 Volts.
- 1mA = 1 milli-amp – which is equal to one thousandths (1/1000) of an Ampere.
- 47kΩ = 47 kilo-ohms – which is equal to 47 thousand Ohms.
- 100uF = 100 micro-farads – which is equal to 100 millionths (100/1,000,000) of a Farad.
- 1kW = 1 kilo-watt – which is equal to 1,000 Watts.
- 1MHz = 1 mega-hertz – which is equal to one million Hertz.

Well we know from above that 1MHz is equal to one million (1,000,000) hertz and that 1kHz is equal to one thousand (1,000) hertz, so one 1MHz is one thousand times bigger than 1kHz. Then to convert Mega-hertz into Kilo-hertz we need to multiply mega-hertz by one thousand, as 1MHz is equal to 1000 kHz.

Likewise, if we needed to convert kilo-hertz into mega-hertz we would need to divide by one thousand. A much simpler and quicker method would be to move the decimal point either left or right depending upon whether you need to multiply or divide.

As well as the “Standard” electrical units of measure shown above, other units are also used in electrical engineering to denote other values and quantities such as:

- • Wh –
**The Watt-Hour**, The amount of electrical energy consumed by a circuit over a period of time. Eg, a light bulb consumes one hundred watts of electrical power for one hour. It is commonly used in the form of:**Wh**(watt-hours),**kWh**(Kilowatt-hour) which is 1,000 watt-hours or**MWh**(Megawatt-hour) which is 1,000,000 watt-hours. - • dB –
**The Decibel**, The decibel is a one tenth unit of the Bel (symbol B) and is used to represent gain either in voltage, current or power. It is a logarithmic unit expressed in**dB**and is commonly used to represent the ratio of input to output in amplifier, audio circuits or loudspeaker systems.

For example, the dB ratio of an input voltage (V_{IN}) to an output voltage (V_{OUT}) is expressed as 20log_{10}(Vout/Vin). The value in dB can be either positive (20dB) representing gain or negative (-20dB) representing loss with unity, ie input = output expressed as 0dB. - • θ –
**Phase Angle**, The Phase Angle is the difference in degrees between the voltage waveform and the current waveform having the same periodic time. It is a time difference or time shift and depending upon the circuit element can have a “leading” or “lagging” value. The phase angle of a waveform is measured in degrees or radians. - • ω –
**Angular Frequency**, Another unit which is mainly used in a.c. circuits to represent the Phasor Relationship between two or more waveforms is called Angular Frequency, symbol**ω**. This is a rotational unit of angular frequency**2πƒ**with units in*radians per second*,**rads/s**. The complete revolution of one cycle is 360 degrees or 2π, therefore, half a revolution is given as 180 degrees or π rad. - •
*τ*–**Time Constant**, The Time Constant of an impedance circuit or linear first-order system is the time it takes for the output to reach 63.7% of its maximum or minimum output value when subjected to a Step Response input. It is a measure of reaction time.