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This tool is a thin lens formula calculator. It computes the image position of an object through a thin lens. All distances are measured from the center of the lens and obey a sign convention (see below).

To compute the position of the object by taking the lens focal points as origins, use this version Newton's version of thin lens equation.

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Under the same conditions as above (converging lens case) but with a diverging lens, we have, - Object distance : d0 = 20 cm. - Focal length : f = -5 cm (negative sign for a diverging lens) We get (enter "x" in d1 field), d1 = -4 cm

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Sign convention : - All distances are measured in relation to the lens surface. - The direction of light from object to lens is considered as the 'positive direction' (always from left to right). - The focal length is positive (f > 0) for a converging lens and negative (f < 0) for a diverging lens.

d0 : distance from object to lens in cm (directional distance AO in the diagram) d1 : distance from lens to image in cm (directional distance OA' in the diagram) f : focal length in cm (OF' in the diagram) All these distances obey the sign convention below.

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The purpose is to calculate the position of the image of an object which is 20 cm away from a converging lens. We suppose that the lens focal length is 5 cm. So we have, - Object distance: d0 = 20 cm (directional distance from object to lens). - Focal length: f = 5 cm (positive for a converging lens) We get (enter "x" in d1 field), d1 = 6.67 cm

The image is a virtual image (can not be seen on a screen) located 4 cm to the left of the lens. See also Newton conjugation relationshipLens optical powerOptics Calculators