1.11 - Efficiency

Sep 1, 2025

Overview

This lecture explains the concept of energy efficiency, how to calculate it using energy or power, and discusses why devices are never 100% efficient.

What is Efficiency?

  • Energy can be converted from one form to another, but not all energy becomes useful output.
  • Efficiency is the proportion of input energy that is transferred into useful output energy.
  • Devices often lose energy as waste, commonly as heat.

Calculating Efficiency

  • Use the formula: Efficiency = Useful Energy Output / Total Energy Input.
  • For power: Efficiency = Useful Power Output / Total Power Input.
  • Efficiency can be expressed as a decimal or percentage (multiply decimal by 100).

Efficiency Example: Lamps

  • Incandescent bulb: 45 J light output from 300 J input; efficiency = 0.15 or 15%.
  • LED bulb: 225 J light output from 300 J input; efficiency = 0.75 or 75%.
  • LED lamp is 5 times more efficient than the incandescent (0.75 / 0.15 = 5 or 75% / 15% = 5).

Common Mistakes & Conservation of Energy

  • Do not invert the efficiency equation; this would give a value >1 or >100%, which is impossible.
  • Efficiency cannot exceed 100% due to the conservation of energy principle.

Efficiency with Power Example

  • Microwave is 70% efficient with 800 W input.
  • Convert percentage to decimal: 70% = 0.7.
  • Useful power output = 0.7 × 800 W = 560 W.

Special Case: Heaters

  • Devices designed to produce heat (e.g., electric heaters) treat thermal energy as useful output, not waste.

Key Terms & Definitions

  • Efficiency — The ratio of useful output to total input energy or power.
  • Useful Energy Output — The energy transferred in the desired form (e.g., light from a lamp).
  • Waste Energy — Energy output that is not useful, often as heat.
  • Conservation of Energy — Principle stating energy cannot be created or destroyed, only transferred.
  • Power — The rate at which energy is transferred or converted, measured in watts (W).

Action Items / Next Steps

  • Practice calculating efficiency for different devices using both energy and power.
  • Review the principle of conservation of energy for better understanding.