Lens Formula Calculator
Compute 1/f = 1/u + 1/v and magnification for a thin lens.
Input Data
Object Distance M
cm
Focal Length M
cm
Results
v from 1/v = 1/f − 1/u.
60cm
m = −v/u.
-2×
At a glance:1/f = 1/u + 1/v; m = −v/u. Complements lens-makers-equation and lens-power.
Formula
1/v = 1/f − 1/u.
$$\frac{1}{f} = \frac{1}{u} + \frac{1}{v}, \quad M = -\frac{v}{u}, \quad f > 0\,\text{(converging)}, \quad f < 0\,\text{(diverging)}$$How to Use
- Enter object distance and focal length.
- The tool returns image distance and magnification.
Case Studies
u=0.3, f=0.1
v=0.15 m, m=−0.5.
FAQ
Sign convention?
Real-is-positive: inverted image gives negative m.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.