Definition: Efficiency is a measure of how much of the total energy supplied to a system is transferred into useful energy stores.
The Efficiency Formula: Efficiency can be calculated using either energy or power values:
Representation: Efficiency is expressed as a decimal (between 0 and 1) or as a percentage (by multiplying the decimal by 100).
Physical Limits: No real-world machine is 100% efficient because some energy is always dissipated as heat due to friction or other resistive forces.
| Feature | Useful Energy | Wasted Energy |
|---|---|---|
| Purpose | Fulfills the intended function | Unintended byproduct |
| Destination | Specific useful store (e.g., Kinetic) | Dissipated to surroundings (e.g., Thermal) |
| Control | Maximized through design | Minimized through lubrication/insulation |
| Example | Light from a bulb | Heat from a bulb |
Check the Units: Always ensure that both input and output energy are in the same units (usually Joules, ) before calculating efficiency.
Sanity Check: Efficiency can never be greater than 1 (or 100%). If your calculation results in a value over 100%, you have likely swapped the input and output values.
Sankey Diagram Interpretation: The width of the arrows is proportional to the amount of energy. Use a ruler in exams to compare widths if numerical values are not provided.
Identify the Store: When asked to describe wasted energy, specify the store it goes to (e.g., 'transferred to the thermal store of the surroundings') rather than just saying 'it becomes heat'.