Thin lens conjugate distances calculator

Calculate signed image distance and transverse magnification with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use signed image distance and transverse magnification to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Signed thin-lens focal length (mm)
50
Real object distance (mm)
200
Signed image distance (mm)
66.666667
Transverse magnification
-0.333333

Try another scenario

Signed thin-lens focal length (mm)
55.00000000000001
Real object distance (mm)
200
Signed image distance (mm)
75.862069
Transverse magnification
-0.37931
Calculation method

Calculation method

Signed image distance (mm)

Image distance=f*object/(object-f); transverse magnification=-image/object.

Transverse magnification

Image distance=f*object/(object-f); transverse magnification=-image/object.

Symbols and units
a
Signed thin-lens focal length (mm)
b
Real object distance (mm)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Real-positive sign convention, virtual image negative; image at infinity rejected. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Real-positive sign convention, virtual image negative; image at infinity rejected.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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