Thin lens image distance

Thin lens image distance: use focal length, object distance. Review the formula, worked example and calculation steps.

Inputs

Use the units shown
RESULT
—

Enter your values and select Calculate.

Formula & explanation
1/f = 1/dₒ + 1/dᵢ; dᵢ = fdₒ/(dₒ−f)

Variables & units

Focal length
m · minimum -1000000000000, maximum 1000000000000
Object distance
m · minimum -1000000000000, maximum 1000000000000

Worked example

Use the displayed example inputs, then follow the substituted values in the solution.

Assumptions

Thin-lens paraxial approximation with the real-is-positive sign convention.

References

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

Calculated on your device. Your latest 100 calculations stay in this browser.