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Converging Thin Lens: Real image distance Calculator

Converging Thin Lens: Calculate real image distance from Positive focal length, Real object distance. Check the formula, input units and worked result on this page.

Enter your values

m
Formula symbol: fₗ. Required unit: m. Must be greater than zero.
m
Formula symbol: u. Required unit: m. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. This is the real-object, real-image branch of a converging thin lens; both distances exceed focal length. Measure from the lens in one unit; virtual images and thick lenses are excluded.
Example result
Real image distance
0.45 m

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use converging thin lens with the units stated beside the fields. This form solves for real image distance; enter the known quantities in Positive focal length, Real object distance.

Inputs and units
Converging Thin Lens: Real image distance Calculator · Inputs and units
InputExample valueWhat to enter
Positive focal length0.18 mFormula symbol: fₗ. Required unit: m. Must be greater than zero.
Real object distance0.30000000000000004 mFormula symbol: u. Required unit: m. Must be greater than zero.
vᵢ = ((fₗ × u) / (u − fₗ))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Positive focal length
0.18 m
Real object distance
0.30000000000000004 m

Complete example results

Real image distance
0.45 m

Reading the result

The result solves for real image distance from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the real image distance result?

This model uses positive magnitudes. This is the real-object, real-image branch of a converging thin lens; both distances exceed focal length. Measure from the lens in one unit; virtual images and thick lenses are excluded.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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