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Physics

Efficiency of a chain

Stage efficiencies multiply, which is why long chains lose so much.

The Formula

overall = efficiency 1 x efficiency 2 x ...

Stage efficiencies multiply, which is why long chains lose so much.

SymbolMeaning
overallOverall efficiency
eta iStage efficiency

What Each Symbol Means

overallratio

Overall efficiency

Combined efficiency of every stage.

eta iratio

Stage efficiency

Efficiency of one stage in the chain.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate efficiency page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Efficiency, filed under Science. Every number the guide produces comes from substituting into this one line.