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Lens Calculator

Science & Engineering

1/f=1/u+1/v, image type, magnification

Quick Answer

Lens Calculator: 1/f=1/u+1/v, image type, magnification. Lens Calculator uses standard science & engineering formulas to compute accurate results instantly.

cm
cm
Image distance v
15.00 cm
Inverted reduced real image (camera)
Magnification m0.500×
Image typeReal, inverted
1/f power (D)10.00 D

Calculation steps

  1. 1Lens formula: 1/f = 1/u + 1/v
  2. 21/v = 1/f − 1/u = 1/10 − 1/30 = 0.06667
  3. 3v = 15.00 cm (real, opposite side)
  4. 4Magnification m = |v/u| = 0.500×
  5. 5Inverted reduced real image (camera)

Convex lens imaging rules

Object distanceImageApplication
u > 2fInverted, reduced, real (f<v<2f)Camera
u = 2fInverted, same-size, real (v=2f)Focal measurement
f < u < 2fInverted, magnified, real (v>2f)Projector
u = fNo image (parallel rays)Searchlight
u < fUpright, magnified, virtualMagnifier
Sign convention: f > 0 for convex (converging), f < 0 for concave (diverging); v > 0 real image on the opposite side, v < 0 virtual on the object side. Lens power in diopters D = 1/f(m) — eyeglass prescriptions use this (e.g. −2.00 D myopia = concave f = −0.5 m).

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How to Use

  1. Enter known quantities: fill values and confirm units in the Lens Calculator.
  2. Instant solution: unknowns solve live with the formula shown transparently.
  3. Use constant/material tables: standard physical constants and material data are listed on this page.
  4. Compare conditions: change inputs to compare scenarios.

Key Points

  • Lens Calculator is a free online science & engineering tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: 1/f=1/u+1/v, image type, magnification.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Lens Calculator formula

Lens Calculator uses standard science & engineering formulas to compute accurate results instantly.

FAQ

How do I use the Lens Calculator?
Open the page and fill in the input fields — results update automatically. 1/f=1/u+1/v, image type, magnification.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on CODATA recommended constants and standard physics formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Lens Calculator[EB/OL]. https://www.yijiansuan.com/en/c/science/lens

Results provided by this tool are for reference only and do not constitute professional advice.