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Thin-Lens Magnification Calculator — result sheet
Calculate image distance and lateral magnification from focal length and object distance using the thin-lens equation.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Image distance v = fu/(u−f); lateral magnification m = −v/u.
The thin-lens equation gives a signed image distance and magnification for an object outside the focal point.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Focal length — mm; minimum 1.0E-6; maximum 1000000
- Object distance — mm; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Focal length | 50 |
| Object distance | 500 |
Image distance ≈ 55.56 mm; magnification ≈ −0.1111.
Assumptions and limits
- Focal length and object distance are positive with object distance greater than focal length.
- The lens is thin and paraxial with a real image under the selected geometry.
- Lens thickness, aberrations, aperture, distortion, and sensor size are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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