Physics

Lens Formula

Relate focal length, image distance and object distance for a thin lens.

1/f = 1/v - 1/u

Formula Explanation

This is the Cartesian sign-convention form of the thin-lens formula.

Variables Explained

f = Focal length; v = Image distance; u = Object distance.

Solved Example

A thin lens has u = -30 cm and f = 15 cm. Find v.
1/v = 1/15 - 1/30 = 1/30; v = 30 cm.

Exam Tip

Apply the same sign convention to all distances.