How do I know which sign to use for object and image distance?

The calculator uses the Cartesian sign convention: object distance (u) is always negative, image distance (v) is positive for real images and negative for virtual images, and focal length (f) is negative for concave mirrors and positive for convex mirrors.

Can this calculator handle both concave and convex mirrors?

Yes, the tool includes separate calculators for concave, convex, and plane mirrors, automatically adjusting the sign conventions and formula application for each mirror type.

What is the mirror equation formula used by this calculator?

The mirror equation is 1/f = 1/v + 1/u, where f is the focal length, v is the image distance from the pole, and u is the object distance from the pole, all measured using the Cartesian sign convention.

Does the calculator provide magnification results?

Yes, the tool computes both linear magnification (with sign indicating image orientation) and areal magnification, helping users determine image size and orientation relative to the object.

PhysicsFree Tool

Mirror Equation Calculator

Provided byOmni Calculatoromnicalculator.com

The mirror equation calculator helps you find the unknown among the object position, image position, and focal length...

Use This Tool

Optics and light calculators

Screenshot of Mirror Equation Calculator on Omni Calculator — omnicalculator.comOpen the live tool →

About this tool

What Mirror Equation Calculator does

The Mirror Equation Calculator on Omni Calculator determines an unknown variable among object distance, image distance, focal length, or radius of curvature for curved, convex, or plane mirrors. Users input two known values, and the tool computes the third, outputting the result with proper sign conventions and linear or areal magnification. The site also provides the mirror formula and definitions for each variable, supporting physics education and quick problem-solving. In addition to the core calculator, the platform offers linked tools for related optics topics, such as Snell's law and thin lens equations, creating a broader resource for light and lens calculations.

Step by step

How to use the Omni Calculator Mirror Equation Calculator

1
Select the mirror type (concave, convex, or plane) from the dropdown menu
2
Enter the object distance (u) with its proper sign convention in the designated field
3
Enter the image distance (v) or focal length (f) as known values
4
View the computed unknown variable and magnification results displayed with sign indicators

Is it right for you

Best for

Physics students and educators who need to solve mirror equation problems quickly while correctly applying Cartesian sign conventions for concave, convex, or plane mirrors.

Limitations

Results depend on the user selecting the correct mirror type and applying the Cartesian sign convention
No unit switching available within the calculator interface
Output estimates based on input values; does not replace full derivations or lab verification

Questions

Mirror Equation Calculator FAQ

How do I know which sign to use for object and image distance?: The calculator uses the Cartesian sign convention: object distance (u) is always negative, image distance (v) is positive for real images and negative for virtual images, and focal length (f) is negative for concave mirrors and positive for convex mirrors.
Can this calculator handle both concave and convex mirrors?: Yes, the tool includes separate calculators for concave, convex, and plane mirrors, automatically adjusting the sign conventions and formula application for each mirror type.
What is the mirror equation formula used by this calculator?: The mirror equation is 1/f = 1/v + 1/u, where f is the focal length, v is the image distance from the pole, and u is the object distance from the pole, all measured using the Cartesian sign convention.
Does the calculator provide magnification results?: Yes, the tool computes both linear magnification (with sign indicating image orientation) and areal magnification, helping users determine image size and orientation relative to the object.

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