CalcDepo

Thin Lens Equation Calculator

Find image distance and magnification for a lens.

Inputs

Results

Image distance15cm
Magnification-0.5
Image typeReal, inverted

Chart

Not what you need? Search by intent

Describe what you want to find β€” β€œwhere does the image form” β€” and jump to the right calculator.

How to use the thin lens equation calculator

Find image distance and magnification for a lens. Enter focal length, object distance in the fields above; the image distance, magnification, image type are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Image distance (cm) = 1 / (1 / f-1 / dobj)
Magnification = -[Image distance] / dobj
Image type = [Image distance]>0?"Real, inverted":"Virtual, upright"

Variables

  • f β€” Focal length (cm)
  • dobj β€” Object distance (cm)

Worked example

With focal length = 10 cm, object distance = 30 cm, the calculator gives image distance β‰ˆ 15 cm; magnification β‰ˆ -0.5; image type β‰ˆ Real, inverted.

Frequently asked questions

What is the formula for the thin lens equation calculation?

Image distance (cm) = 1 / (1 / f-1 / dobj). Magnification = -[Image distance] / dobj. Image type = [Image distance]>0?"Real, inverted":"Virtual, upright". Here f is focal length (cm), dobj is object distance (cm).

What inputs do I need for the thin lens equation calculator?

You need focal length in cm, object distance in cm. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

Related calculators

More in Waves, Sound & Optics: Wave Speed Β· Wavelength to Frequency Β· Speed of Sound Β· Echo and Sonar Distance Β· Lightning Distance Β· Doppler Effect Β· Sound Intensity Level Β· Adding Decibels