Efficiency, Knowledge Organiser

Knowledge Organiser: Efficiency

Key Equations

  • Efficiency = Useful output ÷ Total input
  • Efficiency (%) = (Useful ÷ Total) × 100
  • Wasted = Total input − Useful output
  • Same formula works with power (W)

Key Terms

  • Efficiency — ratio of useful output to total input (no unit)
  • Useful output — energy in intended form
  • Wasted energy — unintended outputs (mainly heat)
  • Sankey diagram — width = energy amount
  • Dissipated — spread into surroundings as heat

Key Rules

  • Efficiency is always less than 100%
  • Energy is conserved (never lost)
  • Wasted energy goes to thermal store
  • Efficiency has NO unit

Improving Efficiency

  • Lubrication — reduces friction
  • Insulation — reduces heat loss
  • Streamlining — reduces air resistance
  • Superconductors — reduce electrical resistance

Common Mistakes

  • Efficiency greater than 1 (or 100%): Efficiency can never exceed 1.0 (100%) — if your answer is above this, check you divided useful by total, not the other way round
  • Using the wrong form of the equation: Both forms are correct — useful energy ÷ total energy, OR useful power ÷ total power — choose based on what data is given
  • Saying wasted energy disappears: Wasted energy is transferred to the thermal store of the surroundings — it is not destroyed
  • Forgetting to multiply by 100 for percentage: The decimal form (e.g. 0.75) and percentage form (75%) are both valid — make sure you give the correct form
  • Assuming more efficient = more powerful: Efficiency is a ratio — a low-power device can be 100% efficient while a high-power device is only 50% efficient

Memory Aid

  • Efficiency = Useful Output ÷ Total Input (remember: U.O.T.I.)

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