Science

Lens Equation Calculator

Focal length, image distance and magnification.

Enter your values

ⓘ Live results

Results
Image distance
51.72 mm
Magnification
0.0345×
Image type
Real and inverted
Field ratio
1:29

Quick answer

The thin lens equation links object distance, image distance and focal length.

1/f = 1/do + 1/di

How to use the Lens Equation Calculator

  1. 1Enter the lens focal length.
  2. 2Enter the object distance from the lens.
  3. 3Read image distance and magnification.

Worked example

Using the values the calculator loads with:

Inputs

  • Focal length50 mm
  • Object distance1500 mm

Results

  • Image distance51.72 mm
  • Magnification0.0345×
  • Image typeReal and inverted
  • Field ratio1:29

Frequently asked questions

What is 1:1 macro?

Magnification of 1, when object and image distances both equal 2f.

Why is magnification negative?

The sign convention marks an inverted real image.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.