Power and efficiency

GCSE Physics revision notes, key terms and practice questions.

Power

  • Power is the rate at which energy is transferred, or the rate at which work is done.
  • P = E ÷ t and P = W ÷ t, where P is in watts (W), E and W in joules (J) and t in seconds (s).
  • An energy transfer of 1 joule per second is a power of 1 watt. 1 kW = 1000 W.
  • Two motors lifting the same load the same height: the one that does it faster has the higher power.

Efficiency

  • Efficiency = useful output energy transfer ÷ total input energy transfer.
  • Efficiency = useful power output ÷ total power input.
  • Efficiency can be given as a decimal (such as 0.75) or a percentage (75%). It can never be more than 1 (100%), because energy cannot be created.

Wasted energy

  • In any energy transfer, some energy is dissipated, usually as thermal energy to the surroundings. This is wasted energy.
  • Wasted energy = total input − useful output.
  • Ways to reduce waste: lubricating moving parts to reduce friction, using thermal insulation, and streamlining vehicles to reduce air resistance.

Sankey diagrams

  • A Sankey diagram shows energy transfers. The width of each arrow is proportional to the amount of energy.
  • The input arrow splits into useful output and wasted energy arrows, which add up to the input.

Key terms

Power
The rate at which energy is transferred or work is done.
Watt
The unit of power: 1 W = 1 J/s.
Efficiency
The proportion of the input energy that is transferred usefully.
Useful energy
Energy transferred to the store where it is wanted.
Wasted energy
Energy that is dissipated and not useful, usually as thermal energy.
Sankey diagram
A diagram with arrows whose widths show amounts of energy transferred.
Kilowatt
1000 watts.

Practise Power and efficiency: 11 questions