Efficiency

Definition

How much of the energy you put into a machine comes out as useful work — the rest is wasted, mostly as heat. No machine is 100% efficient.

η=EusefulEinput\eta = \frac{E_{\text{useful}}}{E_{\text{input}}}

Symbol: ηη · Unit: dimensionless — often written as a percent

Technical definition

The ratio of useful energy (or power) output to total energy (or power) input: η = E_useful/E_input, always less than 1. The second law of thermodynamics caps heat-engine efficiency at the Carnot limit, 1 − T_cold/T_hot.

Example

A typical gasoline car engine converts only about 25–30% of fuel energy into motion; the rest leaves as exhaust heat. An LED bulb turns roughly 40–50% of electrical energy into light, versus about 5% for an old incandescent.

Common confusion

Efficiency is not the same as power. A 2000-watt heater and a 1000-watt heater can both be 100% efficient at turning electricity into heat — the bigger one is more powerful, not more efficient. Efficiency compares useful output to input, never raw size.