AbraCalc

Concave Lens: −15 cm Focal Length, Object at 30 cm

A concave (diverging) lens with f = −15 cm and object at 30 cm produces a virtual image at −10 cm (same side as object).

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How to use this tool

  1. Enter focal length f, object distance dₒ and image distance dᵢ in the fields above.
  2. Results update instantly as you type — or click Calculate.
  3. Read your image distance dᵢ and the full breakdown beneath it.

Concave lenses always produce virtual, upright, diminished images regardless of object position — this preset shows a typical case.

Frequently asked questions

What is the sign convention?
Using the standard convention: distances are positive on the same side as the outgoing light (real image), negative on the same side as the incoming light (virtual image). Converging lenses have f > 0; diverging lenses f < 0.
What happens when the object is at the focal point?
The image distance becomes infinite (parallel outgoing rays) — no focused image forms.