Efficiency
efficiency = useful output energy transfer total input energy transfer efficiency = useful power output total power input \text{efficiency} = \frac{\text{useful output energy transfer}}{\text{total input energy transfer}} \qquad \text{efficiency} = \frac{\text{useful power output}}{\text{total power input}} efficiency = total input energy transfer useful output energy transfer efficiency = total power input useful power output
Efficiency has no unit . It is a decimal between 0 and 1 , or
a percentage (multiply by 100). It can never be more than 1
(100%)
Worked example: a motor takes in 500 J and does 350 J of useful work.
Efficiency = 350 500 = 0.7 = 70 % = \dfrac{350}{500} = 0.7 = 70\% = 500 350 = 0.7 = 70% . The other 150 J is dissipated
to the thermal store
Rearranged: useful output = = = efficiency × \times × input
(HT) To increase the efficiency of an intended transfer: lubricate
moving parts, insulate against heating losses, streamline to
reduce air resistance, use low-resistance wires to reduce heating in
circuits, and recover wasted energy (a heat exchanger)
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A Sankey diagram — a filament lamp 100 J electrical energy in 10 J — useful LIGHT 90 J — wasted, dissipated to the surroundings by heating the width of each arrow is proportional to the energy it carries efficiency = useful energy out ÷ total energy in × 100 = 10 ÷ 100 × 100 = 10% The energy is not destroyed — it is dissipated to the surroundings, where it is spread out so thinly that it can no longer do anything useful. An LED lamp is far more efficient, which is why filament lamps have been phased out. A Sankey diagram for a filament lamp: 100 J in, a thin arrow of 10 J useful light out and a thick arrow of 90 J dissipated by heating
Useful over total. An efficiency above 1 means the fraction is
upside down. And use the same quantities top and bottom: energy with
energy, or power with power, never one of each
No device is 100% efficient; "wastes no energy" is always wrong. The
wasted energy is dissipated to the thermal store of the
surroundings
Full Exam Guide
The rest of this topic is in the full Exam Guide The complete AQA GCSE Physics guide — every topic, exam checklist and common mistake — is coming soon. Until then, the first topic in every unit is free to read.
In the full topic
• Efficiency• Energy resourcesRead the free physics topics →