A lamp uses 200 J of energy and gives out 40 J as light. What is its efficiency as a decimal?
Useful output ÷ total input.
Worked solution
GCSE & IGCSE physics practice
Efficiency compares the useful output with the total input: efficiency = useful output energy ÷ total input energy (or the same with power). It's a decimal between 0 and 1, or a percentage when multiplied by 100. No real device is 100% efficient: the rest is wasted, usually as heat.
15 questions · Foundation tier · Every answer is checked as you type it, with a full worked solution. Updated .
| GCSE (AQA) | Physics and Combined Science, Foundation and Higher. Recall both efficiency equations, for energy and for power (on AQA's list of equations to learn). |
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| Cambridge IGCSE (0625) | Core: understand efficiency qualitatively. Supplement (Extended): define efficiency and recall and use (%) efficiency = useful energy (or power) output ÷ total input (× 100%). |
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A lamp uses 200 J of energy and gives out 40 J as light. What is its efficiency as a decimal?
Useful output ÷ total input.
Worked solution
A motor is supplied with 500 J and does 350 J of useful work. What is its efficiency as a percentage?
Divide, then × 100.
Worked solution
A motor is supplied with 1000 J and gives 750 J of useful energy. Calculate its efficiency as a percentage.
Useful ÷ total, then × 100.
Worked solution
A 60 W filament bulb gives out 6 W of light. What is its efficiency as a decimal?
Useful output power ÷ total input power.
Worked solution
A kettle has an input power of 2400 W and a useful output power of 2160 W. Calculate its efficiency as a percentage.
Use the power version of the equation.
Worked solution
A power station is 40% efficient. It is supplied with 5000 MJ of energy. How much useful energy does it output?
Useful = efficiency (as a decimal) × input.
Worked solution
A TV uses 150 J every second and wastes 45 J of it as heat. Calculate its efficiency as a percentage.
Useful = total − wasted.
Worked solution
An electric motor is 80% efficient and gives a useful output of 240 W. What is its input power?
Input = useful output ÷ efficiency.
Worked solution
A car engine is 25% efficient. It is supplied with 8000 J of energy from fuel. How much useful energy does it output?
Useful = efficiency (as a decimal) × input.
Worked solution
A device wastes 30 J of every 120 J it is supplied with. Calculate its efficiency as a percentage.
Find the useful energy first.
Worked solution
A loudspeaker is 85% efficient and has an input power of 20 W. How much power is wasted?
15% of the input is wasted.
Worked solution
A motor lifts a 20 kg mass through 3 m using 1200 J of electrical energy. Calculate its efficiency as a percentage. ( N/kg)
Useful energy = GPE gained.
Worked solution
A 60% efficient heater transfers 4.5 kJ of useful energy. How much energy is wasted?
Find the total input first.
Worked solution
A motor lifts a 15 kg load through 4 m in 5 s. Its input power is 200 W. Calculate its efficiency as a percentage. ( N/kg)
Useful power = GPE gained ÷ time.
Worked solution
A kettle uses 400 000 J of electrical energy to heat 1 kg of water by 80 °C. Calculate its efficiency as a percentage. ( J/kg °C)
Useful energy = energy that heats the water: mcΔθ.
Worked solution
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