AllMyCalculators

Mirror Equation Calculator

The same equation as a thin lens, with the signs read differently, as a real image forms on the same side as the object.

Positive for concave, negative for convex. It is half the radius of curvature.

Positive, in front of the mirror.

Positive in front of the mirror (real). Negative behind it (virtual).

Answer
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Image distance —
Focal length —
Object distance —
Radius of curvature —
Magnification — ×
Image —

The formula

1/f = 1/d₀ + 1/dᵢ f = R ÷ 2 m = −dᵢ ÷ d₀

A spherical mirror and rays close to the axis, using the real-is-positive convention: f is positive for a concave mirror, and dᵢ is positive for a real image in front of the mirror.

What to watch out for

Convex mirrors, with a negative f, always give small, upright, virtual images, which is why they are used for wide views on vehicles.

Frequently Asked Questions

Where is the image in a 10 cm concave mirror at 30 cm?

15 cm in front of the mirror, real and inverted.

What about a convex mirror with f = −10 cm?

An object at 30 cm gives an image 7.5 cm behind it, with a magnification of 0.25.