Power= | Energy |

Time |

Electronics is mostly concerned with small quantities of power, so the power is oftenmeasured in milliwatts (mW), 1mW=0.001W. For example an LED uses about 40mWand a bleeper uses about 100mW, even a lamp such as a torch bulb only uses about 1W.

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The typical power used in mains electrical circuits is much larger, so this power may bemeasured in kilowatts (kW), 1kW=1000W. For example a typical mains lamp uses60W and a kettle uses about 3kW.

### The equations

Power = Current × Voltage |

There are three ways of writing an equation for power, current and voltage:

P = I × V |

**I =**

P |

V |

**V =**

P |

I |

where:

P = power in watts (W)V = voltage in volts (V)I = current in amps (A)

or:

P = power in milliwatts (mW)V = voltage in volts (V)I = current in milliamps (mA)

### The PIV triangle

P |

I V |

You can use the PIV triangle to help you remember these three equations.Use it in the same way as the Ohm"sLawtriangle:

To calculate**power, P**: put your finger over P,this leaves IV, so the equation is P=I×VTo calculate

**current, I**: put your finger over I,this leaves P over V, so the equation is I=P/VTo calculate

**voltage, V**: put your finger over V,this leaves P over I, so the equation is V=P/I

The amp is quite large for electronics so we often measure current in milliamps (mA) and power in milliwatts (mW).

1mA = 0.001A and 1mW = 0.001W.

### The equations

Using Ohm"s Law **V = I × R**

we can convert **P = I × V** to:

P=I²×R |

and

**P=**

V² |

R |

where:

P = power in watts (W)I = current in amps (A)R = resistance in ohms (

)V = voltage in volts (V)Normally electric power is useful, making a lamp light or a motor turn for example.However, electrical energy is converted to heat whenever a current flows through aresistance and this can be a problem if it makes a device or wire overheat. Inelectronics the effect is usually negligible, but if the resistance is low (a wire or lowvalue resistor for example) the current can be sufficiently large to cause a problem.

You can see from the equation **P=I²×R** that for a givenresistance the power depends on the current **squared**, so doubling the current will give 4 times the power.

**Resistors** are rated by the maximum power they can have developed in them without damage,but power ratings are rarely quoted in parts lists because the standard ratings of 0.25W or 0.5W are suitablefor most circuits. Further information is available on the resistors page.

**Wires and cables** are rated by the maximum current they can pass without overheating.They have a very low resistance so the maximum current is relatively large. For further information aboutcurrent rating please see the cables page.

The amount of energy used (or supplied) depends on the power and the time for which it is used:

Energy = Power × Time |

For example:A 60W lamp switched on for 8 hours uses 60W×8×3600s = 1728kJ.A 3kW kettle switched on for 5 minutes uses 3000W×5×60s = 900kJ.

The standard unit for energy is the joule (J), but 1J is a very small amount of energy for mains electricityso kilojoule (kJ) or megajoule (MJ) are sometimes used in scientific work.

In the home we measure electrical energy in kilowatt-hours (kWh), often just called a "unit"of electricity when the context is clear. 1kWh is the energy used by a 1kW power appliance when it is switched on for 1 hour:

1kWh = 1kW × 1 hour |

For example:A 60W lamp switched on for 8 hours uses 0.06kW×8 =0.48kWh.A 3kW kettle switched on for 5 minutes uses 3kW×5/60 =0.25kWh.

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You may need to convert the kWh domestic unit to the scientific energy unit, the joule (J):

1kWh = 1kW × 1 hour =1000W×3600s =3.6MJ

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