Efficiency

GCSEAQACombined Science FoundationCombined Science HigherPhysics FoundationPhysics Higher

Efficiency

Efficiency tells us how much energy is transferred to useful energy and how much energy is wasted. By reducing wasted energy, the efficiency of an energy transfer can be increased. This will save energy and money. 

Efficiency Calculations

If you know the amount of input energy and useful energy from an energy transfer, you can calculate the efficiency using the following equation:

efficiencycolor{aa57ff}{text{efficiency}}=color{aa57ff}{=}useful output energytotal input energycolor{aa57ff}{dfrac{text{useful output energy}}{text{total input energy}}}

Remember that the total energy is equal to the sum of the useful energy and the wasted energy. 

total energycolor{aa57ff}{text{total energy}}=color{aa57ff}{=}useful energy+color{aa57ff}{text{useful energy} + }wasted energycolor{aa57ff}{text{wasted energy}}

You can also calculate efficiency using the total power input and the useful power input using the following equation:

efficiencycolor{aa57ff}{text{efficiency}}=color{aa57ff}{=}useful power outputtotal power inputcolor{aa57ff}{dfrac{text{useful power output}}{text{total power input}}} 

GCSECombined Science FoundationCombined Science HigherPhysics FoundationPhysics HigherAQA

Increasing Efficiency

The efficiency of an energy transfer can be increased by reducing the amount of wasted energy. How we do this depends on the system and the types of energy store involved. 

For example, by using oil as a lubricant in a car engine, less heat is produced by friction. Therefore, less energy is wasted as heat and so more energy is converted to useful energy and the engine is more efficient

We always want to make a process more efficient because this will save energy and money

GCSECombined Science HigherPhysics HigherAQA

Example: Calculating Efficiency

A lightbulb is switched on for a period of time. During this time, the lightbulb uses 100 J100text{ J} of energy and 20 J20text{ J} of heat energy is produced by the lightbulb. 

Calculate the efficiency of the lightbulb. 

[3 marks]

useful energy output=total input energywasted energy output=10020=80 Jefficiency=useful energy outputtotal energy input=80 J100 J=80%(or 0.8)text{useful energy output} = text{total input energy} – text{wasted energy output} = textcolor{f21cc2}{100}-textcolor{00d865}{20} = bold{80text{ J}} text{efficiency}= dfrac{text{useful energy output}}{text{total energy input}}=dfrac{80text{ J}}{textcolor{f21cc2}{100text{ J}}}= bold{80%},(text{or }0.8)

GCSECombined Science FoundationCombined Science HigherPhysics FoundationPhysics HigherAQA

Efficiency Example Questions

Question 1: An electric motor has a power rating of 6 W6text{ W} but it only produces kinetic energy at a rate of 4 W4text{ W}. What is the efficiency of the motor? 

[2 marks]

GCSE Combined Science Foundation Combined Science Higher Physics Foundation Physics Higher AQA

efficiency=useful output powertotal input power=46=67%(2 sf) or 0.67bold{text{efficiency}} = dfrac{text{useful output power}}{text{total input power}}=dfrac{4}{6}=bold{67%}text{(2 sf) or } 0.67

MME Premium Laptop

Save your answers with

MME Premium

Gold Standard Education

Question 2: In an energy transfer, 30%30% of the energy input is wasted. What is the efficiency of the energy transfer? 

[1 mark] 

GCSE Combined Science Foundation Combined Science Higher Physics Foundation Physics Higher AQA

useful energy output=total energy inputwaste energy output=100%30%=70%text{useful energy output} = text{total energy input} – text{waste energy output} = 100%-30% = bold{70%}

MME Premium Laptop

Save your answers with

MME Premium

Gold Standard Education

Question 3: Suggest a way to improve the efficiency of a kettle. 

[1 mark]

GCSE Combined Science Higher Physics Higher AQA

Any one from:

  • Increase the thickness of the walls of the kettle
  • Make the kettle from a more insulating material
  • Wrap the kettle in an insulating material (cotton wool, bubble wrap etc).
MME Premium Laptop

Save your answers with

MME Premium

Gold Standard Education

Specification Points Covered

AQA GCSE

  • 4.1.2.2 – Efficiency

Efficiency Worksheet and Example Questions

Site Logo

Energy Changes in a System Questions

GCSEOfficial MME