Worked Examples

Part of Efficiency ยท Section 8 of 13

Worked ExampleUnit: EnergyGCSE

Example 1 โ€” Basic efficiency:

A light bulb uses 100 J of electrical energy and produces 8 J of useful light energy. Calculate its efficiency.

  1. Efficiency = Useful output รท Total input = 8 รท 100 = 0.08
  2. As a percentage: 0.08 ร— 100 = 8%
  3. Wasted energy: 100 โˆ’ 8 = 92 J (as heat)

Example 2 โ€” Finding useful output:

A motor is 65% efficient and receives 2,000 J. How much useful energy does it produce?

  1. Rearrange: Useful output = Efficiency ร— Total input
  2. Convert 65% to decimal: 0.65
  3. Useful output = 0.65 ร— 2,000 = 1,300 J

Example 3 โ€” Using power:

A machine has input power of 500 W and useful output power of 350 W. Calculate the efficiency.

  1. Efficiency = Useful output power รท Total input power
  2. Efficiency = 350 รท 500 = 0.7 (or 70%)

Quick Check: An engine has an efficiency of 0.30 and a total input of 6,000 J. How much energy is wasted?

This worked example covers Worked Examples within Efficiency for GCSE Physics. Revise Efficiency in Energy for GCSE Physics with 19 exam-style questions and 4 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 8 of 13 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Practice questions for Efficiency

Which equation correctly defines efficiency?

  • A. efficiency = total input energy / useful output energy
  • B. efficiency = useful output energy transfer / total input energy transfer
  • C. efficiency = wasted energy / total input energy
  • D. efficiency = total input energy / wasted energy
1 markfoundation

Explain one method that can be used to reduce unwanted energy transfers in a machine and state how it reduces waste.

2 marksstandard

Quick recall flashcards

As a percentage
85% (multiply decimal by 100)
As a decimal
0.85 (between 0 and 1)

19 questions on Efficiency: practise free

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