Free Lens Equation Calculator
Calculate image distance using the thin lens equation: 1/f = 1/do + 1/di.
cm
cm
Image Distance
15.00 cm
Magnification-0.5000
Image Distance vs Focal Length
Thin Lens Equation
The thin lens equation relates object distance, image distance, and focal length.
Formula
1/f = 1/d_o + 1/d_i
Positive focal length for converging lenses, negative for diverging. Magnification: M = -d_i / d_o. Negative M means inverted image.
Example Calculation
An object 30 cm from a converging lens with focal length 10 cm.
- 011/f = 1/do + 1/di
- 021/10 = 1/30 + 1/di
- 031/di = 1/10 - 1/30 = 3/30 - 1/30 = 2/30
- 04di = 15 cm
- 05M = -15/30 = -0.5 (inverted, half size)
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