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Thin Lens Equation Calculator

This calculator helps you determine the relationship between object distance, image distance, and focal length for thin lenses, an essential concept in optics.

Calculator

Results

Object Distance (do): -
Image Distance (di): -
Focal Length (f): -

Data Source and Methodology

The calculations are based on the thin lens formula: 1/f = 1/do + 1/di, which is a fundamental principle in optics.

The Formula Explained

The thin lens formula: 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance.

Glossary of Terms

  • Object Distance (do): Distance from the object to the lens.
  • Image Distance (di): Distance from the image to the lens.
  • Focal Length (f): Distance from the lens to its focus point.

How It Works: A Step-by-Step Example

Suppose you have an object distance of 10 cm and an image distance of 20 cm. Using the formula, you can calculate the focal length as follows:

1/f = 1/10 + 1/20 = 0.1 + 0.05 = 0.15

Therefore, f = 1/0.15 ≈ 6.67 cm.

Frequently Asked Questions (FAQ)

What is the Thin Lens Equation?

The Thin Lens Equation is a formula used to relate the focal length of a lens to the distances of the object and the image it produces.

How do I use the calculator?

Input the known values for object distance, image distance, or focal length, and the calculator will compute the unknown value.

Can this calculator be used for any lens?

This calculator is designed for thin lenses, where the thickness of the lens is negligible compared to the object and image distances.

What units should I use?

Ensure that all input values are in the same unit, such as centimeters for consistency.

Tool developed by Ugo Candido. Content reviewed by the OpticsCalc Expert Team.
Last reviewed for accuracy on: October 1, 2023.

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