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Mirror equation relates object distance, image distance, and mirror radius of curvature. It applies to both concave and convex mirrors, predicting image formation.

Formula

The calculator applies 1/f = 1/s_o + 1/s_i where f = R/2
R
R value — Variable used in the calculation
f
1/s_o + 1/s_i where f = R/2 — 1/s_o + 1/s_i where f = R/2

Guida passo passo

  1. 1Enter object distance and mirror radius, or two distances
  2. 2The calculator applies 1/f = 1/s_o + 1/s_i where f = R/2
  3. 3Results show image location, size, and orientation

Esempi risolti

Ingresso
s_o = 20 cm, R = 30 cm
Risultato
s_i = 60 cm, magnification = 3×
Real inverted magnified image

Errori comuni da evitare

  • Using the wrong sign conventions for concave vs. convex mirrors
  • Assuming magnification directly relates to focal length

Domande frequenti

Why is focal length half the radius of curvature?

For a spherical mirror, the focal point is at the geometric center, halfway between vertex and center of curvature.

What images do convex mirrors form?

Convex mirrors always form virtual, upright, diminished images. This is why they're used for wide-angle car mirrors.

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