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Energy

Power and Efficiency

AQA GCSE Physics


Power

  • Power is the energy transferred each second.
  • Power is the rate of energy transfer.
  • 1 watt is 1 joule per second: 1 W = 1 J/s.
power = energy transferred ÷ time P = E / t
power = work done ÷ time P = W / t
QuantitySymbolUnit
PowerPW (watts)
Energy transferredEJ (joules)
Work doneWJ (joules)
Timets (seconds)
Efficiencynoneno unit

Efficiency

Total input Useful output Wasted energy
The total input energy is transferred as useful output energy and wasted energy.
efficiency = useful output energy transfer ÷ total input energy transfer efficiency = Euseful out / Etotal in
efficiency = useful power output ÷ total power input efficiency = Puseful out / Ptotal in
  • Rearranged: useful power output = efficiency × total power input.
  • Rearranged: total input energy transfer = useful output energy transfer ÷ efficiency.
  • Efficiency is a decimal or a percentage, and has no unit.
  • Efficiency is never greater than 1 (100%).
  • To change a decimal efficiency to a percentage, multiply by 100.

Increasing efficiency

  • Efficiency increases when a higher proportion of the energy input is usefully transferred.
  • So a smaller proportion of the energy is wasted.
  • Less work is done against friction, so the efficiency would increase because the proportion of energy usefully transferred would increase.
  • A more efficient device needs a lower energy input for the same energy output.
  • A water-driven generator: greater mass of water each second.

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