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AQA GCSE Physics

Revision Notes
(Energy Changes in a System)

Efficiency

Efficiency

Definition of Efficiency

Efficiency is a measure of how well a device or system converts the total energy input into useful energy output. It is defined as the ratio of useful energy output to total energy input.

Efficiency = Useful energy outputTotal energy input\frac{\text{Useful energy output}}{\text{Total energy input}}

Efficiency is always less than or equal to 1 (or 100% when expressed as a percentage) because no device can be perfectly efficient 013 some energy is always lost or wasted.

Efficiency can be expressed as a decimal (e.g. 0.75) or as a percentage (e.g. 75%).

Calculating Efficiency

To calculate efficiency, you must ensure that both the useful energy output and the total energy input are measured in the same units, usually joules (J).

The formula is:

Efficiency = Useful energy output (J)Total energy input (J)\frac{\text{Useful energy output (J)}}{\text{Total energy input (J)}}

If you want efficiency as a percentage, multiply the decimal by 100.

For instance, if a machine uses 200 J of energy and produces 150 J of useful energy, the efficiency is:

Efficiency=150200=0.75\text{Efficiency} = \frac{150}{200} = 0.75 or 75%

PracticeExample 2

Worked Example

Example: A light bulb uses 60 J of electrical energy and produces 45 J of light energy. Calculate its efficiency as a decimal and as a percentage.

PracticeExample 3

Worked Example

Example: A motor transfers 500 J of useful energy from an input of 800 J. What is its efficiency?

PracticeExample 4

Worked Example

Example: A heater transfers 3000 J of useful thermal energy but wastes 1000 J. What is the efficiency?

Energy Wastage and Efficiency

In all energy transfers, some energy is wasted, usually as thermal energy (heat) that is not useful for the intended purpose.

Common causes of energy loss include:

  • Friction between moving parts, which produces heat
  • Electrical resistance in wires, which causes heat loss
  • Sound energy produced by machines

Because of these losses, no machine or device can be 100% efficient.

Reducing wasted energy is important to save resources, reduce costs, and lower environmental impact.

Improving Efficiency

Efficiency can be improved by reducing the amount of energy wasted during energy transfers. Some common methods include:

  • Insulation: Using materials that reduce heat loss, such as foam or fibre glass in buildings or jackets around pipes
  • Lubrication: Applying oil or grease to moving parts to reduce friction and heat loss
  • Energy-efficient devices: Using appliances designed to waste less energy, such as LED light bulbs or electric motors with low resistance
  • Remember that efficiency is always less than or equal to 1 (or 100%) because energy cannot be created or destroyed, only transferred.
  • When calculating efficiency, always check that the units for energy input and output are the same.
  • Reducing wasted energy not only saves money but also helps protect the environment by reducing energy consumption.

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