Mirror Equation Calculator

Calculate Image Properties

Calculate image distance, object distance, focal length, and magnification using the mirror equation (1/f = 1/v + 1/u).

Mirror Parameters

cm

Negative for objects in front of mirror

cm

Negative for virtual images

cm

Negative for convex mirrors

Formulas

1/f = 1/v + 1/u

m = -v/u

Sign Convention

  • β€’ Object distance (u): Always negative
  • β€’ Real image (v): Positive
  • β€’ Virtual image (v): Negative
  • β€’ Concave mirror (f): Positive
  • β€’ Convex mirror (f): Negative

Concave Mirrors

Converging mirrors with positive focal length. Can form real or virtual images.

  • Real, inverted images when object beyond focus
  • Virtual, erect images when object within focus
  • Used in telescopes, makeup mirrors

Convex Mirrors

Diverging mirrors with negative focal length. Always form virtual, erect, diminished images.

  • Virtual, erect, diminished images always
  • Wider field of view
  • Used in vehicle side mirrors, security