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Optics

Thin lens equation

The image distance for a lens of focal length f and object distance do.

The Formula

di = f x do / (do - f)

The image distance for a lens of focal length f and object distance do.

SymbolMeaning
fFocal length
doObject distance
diImage distance

What Each Symbol Means

fcentimetres

Focal length

Positive for a converging lens, negative for a diverging one.

docentimetres

Object distance

The distance from the lens to the object.

dicentimetres

Image distance

The distance from the lens to the image.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate a thin lens equation 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 A Thin Lens Equation, filed under Science. Every number the guide produces comes from substituting into this one line.