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Lens Formula Calculator

🔍 Light & optics. Use the Lens formula formula to find image distance v, focal length f, object distance u: pick the value you want, type the others, and the answer updates as you go.

1f=1u+1v\dfrac{1}{f} = \dfrac{1}{u} + \dfrac{1}{v}

“Real is positive”: a positive v is a real image; a negative f is a diverging lens.

Image distance v16.667 cm

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Image distance vcm
Focal length fcm
Object distance ucm

Worked example

Find the image distance v when Focal length f = 10 cm, Object distance u = 25 cm.

Using 1/f = 1/u + 1/v: Image distance v = 16.667 cm.

Frequently asked questions

What is the formula for Lens formula?

1/f = 1/u + 1/v. “Real is positive”: a positive v is a real image; a negative f is a diverging lens.

What do the letters stand for, and what units are used?

Image distance v in cm, Focal length f in cm, Object distance u in cm.

How do you calculate image distance v?

Put the values into 1/f = 1/u + 1/v. For example, with Focal length f = 10 cm, Object distance u = 25 cm, image distance v = 16.667 cm.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (image distance v, focal length f, object distance u) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas See it in the Lenses & Light simulation